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Finding the Fourth Proportional to 9,402.46, 14,076.27 and 8,149.27

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Solution

The fourth proportional to 9,402.46, 14,076.27 and 8,149.27 is: 12,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.46 : 14,076.27 = 8,149.27 : x
  2. Step 2: Convert to fraction form
    9,402.46/14,076.27 = 8,149.27/x
  3. Step 3: Cross multiply
    9,402.46x = 14,076.27 × 8,149.27
  4. Step 4: Simplify right side
    9,402.46x = 114,711,324.82
  5. Step 5: Solve for x
    x = 114,711,324.82/9,402.46
  6. Step 6: Final answer
    x = 12,200.14

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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.