First, we need to calculate the total amount won by the group:
\[ \text{Total amount won by the group} = \frac{1}{5} \times 4500 = 900 \]
Next, we divide this amount by the number of people in the group (9) to find out how much each person won:
\[ \text{Amount won by each person} = \frac{900}{9} = 100 \]
Therefore, each person in the group won $100.