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Finding the Fourth Proportional to 8,324.14, 12,497.13 and 6,487.02

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Solution

The fourth proportional to 8,324.14, 12,497.13 and 6,487.02 is: 9,739.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.14 : 12,497.13 = 6,487.02 : x
  2. Step 2: Convert to fraction form
    8,324.14/12,497.13 = 6,487.02/x
  3. Step 3: Cross multiply
    8,324.14x = 12,497.13 × 6,487.02
  4. Step 4: Simplify right side
    8,324.14x = 81,069,132.25
  5. Step 5: Solve for x
    x = 81,069,132.25/8,324.14
  6. Step 6: Final answer
    x = 9,739.04

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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.