To find out how much money each person in the group won, we first need to determine the total amount won by the group and then divide that by the number of people.
The group won \(\frac{15}{100}\) of the $4,500 prize.
Calculating the amount won by the group:
\[ \text{Total amount won} = 4500 \times \frac{15}{100} = 4500 \times 0.15 = 675 \]
Now, we divide this total amount by the number of people (9):
\[ \text{Amount won by each person} = \frac{675}{9} = 75 \]
Therefore, each person in the group won $75.