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Finding the Fourth Proportional to 9,142.73, 13,711.28 and 3,877.64

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Solution

The fourth proportional to 9,142.73, 13,711.28 and 3,877.64 is: 5,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.73 : 13,711.28 = 3,877.64 : x
  2. Step 2: Convert to fraction form
    9,142.73/13,711.28 = 3,877.64/x
  3. Step 3: Cross multiply
    9,142.73x = 13,711.28 × 3,877.64
  4. Step 4: Simplify right side
    9,142.73x = 53,167,407.78
  5. Step 5: Solve for x
    x = 53,167,407.78/9,142.73
  6. Step 6: Final answer
    x = 5,815.27

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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.