Using proportions, considering the ratios, it is found that Danil receives 65.33 euros.
A proportion is a fraction of a total amount.
Danil, gabriel and hadley share some money in the ratios 3:5:9. Hence, the fraction of the total amount that Danil and Hadley receive are given by:
[tex]D = \frac{3}{17}n[/tex]
[tex]H = \frac{9}{17}n[/tex]
The amount of money that hadley receives is 196 euros, hence the total amount is found as follows.
[tex]196 = \frac{9}{17}n[/tex]
[tex]n = \frac{196 \times 17}{9}[/tex]
n = 370.22.
Hence, the amount received by Danil is given by:
[tex]D = \frac{3}{17}n = \frac{3}{17} \times 370.22 = 65.33[/tex]
More can be learned about proportions at https://brainly.com/question/24372153
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