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Finding the Fourth Proportional to 9,147.27, 12,610.31 and 6,493.71

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Solution

The fourth proportional to 9,147.27, 12,610.31 and 6,493.71 is: 8,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.27 : 12,610.31 = 6,493.71 : x
  2. Step 2: Convert to fraction form
    9,147.27/12,610.31 = 6,493.71/x
  3. Step 3: Cross multiply
    9,147.27x = 12,610.31 × 6,493.71
  4. Step 4: Simplify right side
    9,147.27x = 81,887,663.68
  5. Step 5: Solve for x
    x = 81,887,663.68/9,147.27
  6. Step 6: Final answer
    x = 8,952.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.