Consider the three charges, $q_1,q_2,$ and $q_3.$ The flux through the three surfaces $S_1,S_2,$ and $S_3$ shown in the diagram below are $-4\frac{q}{{}_0},-9\frac{q}{{}_0},$ and $-\frac{q}{{}_0},$ respectively. If $q=3\mathrm{.}5C,$ determine the values $($magnitude and sign$)$ of the three charges $q_1,q_2,$ and $q_3.$

$q_1=,C$

$q_2=,C$

$q_3=,{?}_{{?}_{?}}|C|$

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