Jenny has a recipe that requires 1/3 cup of sugar for every 1/2 cup of flour she uses. If she wants to make a batch with 6 cups of flour, how many cups of sugar does she need? Additionally, if she decides to make a second batch with 3/4 of the original amount of flour, how many cups of sugar will she need for the second batch? Let's think step by step and output the final answer within \boxed{}.
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