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Finding the Fourth Proportional to 8,614.71, 11,872.64 and 6,725.31

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Solution

The fourth proportional to 8,614.71, 11,872.64 and 6,725.31 is: 9,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.71 : 11,872.64 = 6,725.31 : x
  2. Step 2: Convert to fraction form
    8,614.71/11,872.64 = 6,725.31/x
  3. Step 3: Cross multiply
    8,614.71x = 11,872.64 × 6,725.31
  4. Step 4: Simplify right side
    8,614.71x = 79,847,150.89
  5. Step 5: Solve for x
    x = 79,847,150.89/8,614.71
  6. Step 6: Final answer
    x = 9,268.70

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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.