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Fluvoxamine is the correct choice as it has been shown to significantly inhibit the enzyme cytochrome P450 3A4 (CYP3A4), which is responsible for the metabolism of alprazolam. When fluvoxamine is taken alongside alprazolam, it can increase the concentration and half-life of alprazolam in the body due to reduced metabolic clearance. This can lead to enhanced effects and potential increased risk of side effects from alprazolam.

In contrast, while the other SSRIs listed may have some interaction with alprazolam, they do not demonstrate the same level of significant metabolic inhibition as fluvoxamine. Fluoxetine and paroxetine also inhibit CYP2D6 and can affect other medications but do not notably increase alprazolam's half-life like fluvoxamine. Sertraline is less likely to cause this interaction compared to fluvoxamine. Therefore, fluvoxamine is the most significant in increasing the half-life of alprazolam due to its strong inhibitory effects on metabolism, making it the right answer in this context.