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Finding the Fourth Proportional to 9,414.78, 14,127.60 and 5,032.20

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Solution

The fourth proportional to 9,414.78, 14,127.60 and 5,032.20 is: 7,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.78 : 14,127.60 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    9,414.78/14,127.60 = 5,032.20/x
  3. Step 3: Cross multiply
    9,414.78x = 14,127.60 × 5,032.20
  4. Step 4: Simplify right side
    9,414.78x = 71,092,908.72
  5. Step 5: Solve for x
    x = 71,092,908.72/9,414.78
  6. Step 6: Final answer
    x = 7,551.20

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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.