To determine how much each person in the group won, we first need to calculate the total amount won by the group. The group won \( \frac{1}{5} \) of a $4,500 prize.
First, we calculate \( \frac{1}{5} \) of $4,500:
\[ \frac{1}{5} \times 4500 = 900 \]
So, the group won a total of $900.
Now, to find out how much each person in the group of 9 people won, we divide the total amount by the number of people:
\[ \frac{900}{9} = 100 \]
Thus, each person in the group won $100.