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Finding the Fourth Proportional to 6,341.39, 9,513.27 and 1,957.82

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Solution

The fourth proportional to 6,341.39, 9,513.27 and 1,957.82 is: 2,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.39 : 9,513.27 = 1,957.82 : x
  2. Step 2: Convert to fraction form
    6,341.39/9,513.27 = 1,957.82/x
  3. Step 3: Cross multiply
    6,341.39x = 9,513.27 × 1,957.82
  4. Step 4: Simplify right side
    6,341.39x = 18,625,265.72
  5. Step 5: Solve for x
    x = 18,625,265.72/6,341.39
  6. Step 6: Final answer
    x = 2,937.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.