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Finding the Fourth Proportional to 6,937.92, 9,565.29 and 5,049.81

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Solution

The fourth proportional to 6,937.92, 9,565.29 and 5,049.81 is: 6,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.92 : 9,565.29 = 5,049.81 : x
  2. Step 2: Convert to fraction form
    6,937.92/9,565.29 = 5,049.81/x
  3. Step 3: Cross multiply
    6,937.92x = 9,565.29 × 5,049.81
  4. Step 4: Simplify right side
    6,937.92x = 48,302,897.09
  5. Step 5: Solve for x
    x = 48,302,897.09/6,937.92
  6. Step 6: Final answer
    x = 6,962.16

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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.