To find the price of 300 centimeters of streamers, we first need to convert centimeters to meters. Since there are 100 centimeters in a meter, we can convert 300 centimeters to meters:
\[ 300 \text{ cm} = \frac{300}{100} \text{ m} = 3 \text{ m} \]
Next, we calculate the total cost of 3 meters of streamers at a rate of $0.09 per meter. The total cost is given by multiplying the number of meters by the price per meter:
\[ \text{Total cost} = 3 \text{ m} \times 0.09 \text{ dollars/m} = 0.27 \text{ dollars} \]
Thus, the price of 300 centimeters of streamers is
\[ \boxed{0.27} \text{ dollars}. \]