How to make python use a random number generator and append each number it generates to a list?

Here is my current code-

import random
for x in range(4):
    randomInt = random.randint(1,9)
    randomList = []
    randomList.append(ranInt)
    print ranList

What I'm trying to do is have the generator generate 4 numbers between 1 and 9 and then print all those variables to the same list. Right now what this code returns is 4 random numbers, and they are formatted in brackets on individual lines. How do I fix this so they are all in one list?