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Finding the Fourth Proportional to 9,884.52, 13,639.32 and 5,691.96

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Solution

The fourth proportional to 9,884.52, 13,639.32 and 5,691.96 is: 7,854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.52 : 13,639.32 = 5,691.96 : x
  2. Step 2: Convert to fraction form
    9,884.52/13,639.32 = 5,691.96/x
  3. Step 3: Cross multiply
    9,884.52x = 13,639.32 × 5,691.96
  4. Step 4: Simplify right side
    9,884.52x = 77,634,463.87
  5. Step 5: Solve for x
    x = 77,634,463.87/9,884.52
  6. Step 6: Final answer
    x = 7,854.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.