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Finding the Fourth Proportional to 9,076.26, 13,614.42 and 2,502.30

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Solution

The fourth proportional to 9,076.26, 13,614.42 and 2,502.30 is: 3,753.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.26 : 13,614.42 = 2,502.30 : x
  2. Step 2: Convert to fraction form
    9,076.26/13,614.42 = 2,502.30/x
  3. Step 3: Cross multiply
    9,076.26x = 13,614.42 × 2,502.30
  4. Step 4: Simplify right side
    9,076.26x = 34,067,363.17
  5. Step 5: Solve for x
    x = 34,067,363.17/9,076.26
  6. Step 6: Final answer
    x = 3,753.46

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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.