I have a 1999 Dodge Dakota hesitation during acceleration .what can I do to. Fix the problem.

SOURCE: 2007 cobalt engine hesitating during acceleration

any ck engin lights could be bad gas or spark plug or coil pack braking down

SOURCE: 2004 dodge caravan 2.4 Hesitates during Acceleration and at idele

You should definitely replace the fuel filter though this probably won't fix your hesitation. It wouldn't hurt to replace the spark plugs this is usually the culprit on these engine. I have the same engine in a '99 caravan and found the for some reason the spark plugs on cylinder 3 and 4 loosen up after one year and cause a misfire between 45 and 50 mph under load (when mildly accelerating).

SOURCE: hesitation at 40mph and 50 mph.

A pop and hesitation is likely a backfire. The hesitation around 40 and 50 would be in keeping with that theory. There are several reasons you might be getting backfires and hesitation. If your ECM is adjusting the engine to run too rich this could happen. Misfiring might be occuring. Timing could be out. But one of the most likely is a restricted exhaust, likely due to a plugged, damaged or worn out catalytic converter. In some cases the converter may be bad enough to be giving you some performance problems, but not yet quite bad enough to signal an error. A vacuum test can help confirm whether this is exhaust related.

SOURCE: hesitation during acceleration

could be the type of plug you are using.I was told only to use ngk plugs.I recently put bosch plugs in my mazda 3 and the check engine light came on and it started missfiring.

SOURCE: 1999 Dodge Dakota AC no longer blowing cold. And

You may want to have the AC cleaned out.  This involves removing the evaporator and cleaning it inside out.  While you have it out, have the vents check if you have the "door" that lets the outside air in if it is working,  Just to be sure that the dust did not come from the outside.  You may also want the AC freon checked out.