Will an 8 3/4 rear end fit in a 73 dart sport?

Hey there, I have a 73 dart sport 340 car. Previous owner swapped in a 1971 360 with 727. Transmission is believed to be numbers matching(not sure). I finally fixed an issue where it would stall after pressing the brake, but now whenever the car starts moving, the rear wheels spin back and forth. Seems like center gears might be shot or the axel bearings. The previous owner swapped in a ford 9 inch from something like a 69 mustang. He put 4.11 gears in it. I am wondering if it’s worth it to put an 8 3/4 in it, or just a different center section for the 9 inch. I would like to avoid shortening the driveshaft if possible. I do know that even with the 340, this car would never have come with a 8 3/4. Thanks