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Finding the Fourth Proportional to 9,781.29, 14,672.88 and 3,937.14

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Solution

The fourth proportional to 9,781.29, 14,672.88 and 3,937.14 is: 5,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.29 : 14,672.88 = 3,937.14 : x
  2. Step 2: Convert to fraction form
    9,781.29/14,672.88 = 3,937.14/x
  3. Step 3: Cross multiply
    9,781.29x = 14,672.88 × 3,937.14
  4. Step 4: Simplify right side
    9,781.29x = 57,769,182.76
  5. Step 5: Solve for x
    x = 57,769,182.76/9,781.29
  6. Step 6: Final answer
    x = 5,906.09

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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.