How do I reset, my kindle ran out of power and will not recharge

You will need to do a factory reset, sorry this will erase anything on the device you loaded in.

sounds like you did everything right
could call amazon see if they can help
or do a factory reset to eliminate software problems you will lose all your data
then there is hardware problems dead battery that won't recharge bad cable connection inside kindle

Reset Kindle Fire When it Won Turn on or Charge

According to eHow.com: " E-Reader Soft Reset

• 1 Open your Kindle's Menu while on the Home screen. Do so by pressing the Menu button, or the onscreen Menu icon for Kindle Paperwhite owners. Select the "Settings" option.
  
• 2 Choose "Menu" again from within the Settings menu. This displays a different menu than before.
  
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• 3 Choose the "Restart" option. Wait while your Kindle powers off and on again.
  

E-Reader Hard Reset

• 1 Charge your Kindle e-reader before performing a hard reset. Charging helps ensure your problem isn't related to the device having a low battery.
  
• 2 Hold down the Power button for 20 seconds. The screen will change after a few seconds, but continue holding the power button for the full 20 seconds before releasing.
  
• 3 Wait while your Kindle restarts.
  

E-Reader Factory Reset

• 1 Press your Kindle's Menu button. Select "Settings" from the menu.
  
• 2 Open the menu once more from within the Settings window. Select "Reset to Factory Defaults," or "Reset Device" if you're using a Paperwhite.
  
• 3 Select "Yes" in the confirmation window after reading the warning. Wait while your Kindle restarts and restores.
  

Fire Soft Reset

• 1 Hold the Power button down for three to five seconds. A Shutdown window appears.
  
• 2 Tap the "Power Off" button in the Shutdown window. Wait for the Fire to shut down completely.
  
• 3 Press the Power button to turn the device on again.
  

Fire Hard Reset

• 1 Plug your Kindle Fire in and give it time to charge before performing a hard reset. This helps ensure your issues aren't related to having a low battery.
  
• 2 Hold down the Power button for 20 seconds. The Kindle Fire will shut down.
  
• 3 Press the Power button to turn the Kindle Fire back on.
  

Fire Factory Reset

• 1 Swipe your finger down from the top of your Kindle Fire's screen, presenting the Quick Settings menu.
  
• 2 Tap the "Settings" option and select "Device."
  
• 3 Select "Reset to Factory Defaults," then tap the "Reset" button. Wait while your Kindle Fire restarts and restores.
  

Read more : http://www.ehow.com/how_6122863_reset-kindle.html

Turning Off the Kindle
Quickly sliding the power switch on the Kindle enters and resumes sleep mode. If your Kindle enters a non-responsive state when sliding the power switch, you've likely entered sleep mode. Try sliding the power switch and holding it for four seconds to shut down the device. If it still does not shut off, you may need to reset the Kindle.

Resetting the Kindle
The power switch also serves to reset the device. Before resetting the device, disconnect it from any power sources, such as an AC outlet or your computer's USB connection. Sliding the power switch and holding it for 20 seconds forces the Kindle to reset and power down. However, a nearly depleted battery may prevent this action. If the Kindle still doesn't shut off, try charging it for several hours and resetting it again.

Three possibilities. 1. Battery is defective. 2. Charger is faulty. 3. Tablet's 5V socket is broken or loose.

Did you try

Instructions

1. Frozen Screen or Unresponsive Kindle
   • 1 Unplug the Kindle.
     
   • 2 Move the power button to the right and release. You should see a green LED light for two seconds.
     
   • 3 Move the power button to the right and hold for five seconds. The green light should blink three times and then the screen will go blank. Release the power button after it does.
     
   • 4 Turn the device back on by sliding the power button to the right and releasing it.
     
   Perform a Hard Reset
   • 5 Perform a hard reset if the previous steps are unsuccessful or if the Kindle screen is showing lines.
     
   • 6 Slide the power button to the right.
     
   • 7 Hold for 15 seconds.
     
   • 8 Recharge the battery if the device continues to be unresponsive.
     
   • 9 Restart the Kindle after charging.
     

Read more : http://www.ehow.com/how_7655306_reset-kindle-3g.html

I have sent several links..if still having problems leave a comment or contact.Hope this helps..Richard

Dear friend,

To restart your Kindle 3, you will need to have it recharged first. Then, disconnect it from the computer or charger and slide the ON/OFF switch to the ON position and keep it there for 15 seconds and then release it. Kindle will reboot.

The Kindle 3 also has a hardware reset button inside, but you will need to open it, in case you do not manage to make it work with the solution provided above.

Hope you can reset your Kindle and have your books back!

Regards,

Miguel L. Martins

It is possible that your Kindle Fire's battery has died. If you noticed the battery life diminishing before it wouldn't turn on at all this may be the case. Here is a site that has replacement batteries for the Kindle Fire:
3555A2L Battery for Amazon Kindle Fire D01400