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Finding the Fourth Proportional to 9,308.29, 12,847.71 and 5,724.13

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Solution

The fourth proportional to 9,308.29, 12,847.71 and 5,724.13 is: 7,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.29 : 12,847.71 = 5,724.13 : x
  2. Step 2: Convert to fraction form
    9,308.29/12,847.71 = 5,724.13/x
  3. Step 3: Cross multiply
    9,308.29x = 12,847.71 × 5,724.13
  4. Step 4: Simplify right side
    9,308.29x = 73,541,962.24
  5. Step 5: Solve for x
    x = 73,541,962.24/9,308.29
  6. Step 6: Final answer
    x = 7,900.70

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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.