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Finding the Fourth Proportional to 10,717.47, 14,787.71 and 6,469.22

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Solution

The fourth proportional to 10,717.47, 14,787.71 and 6,469.22 is: 8,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.47 : 14,787.71 = 6,469.22 : x
  2. Step 2: Convert to fraction form
    10,717.47/14,787.71 = 6,469.22/x
  3. Step 3: Cross multiply
    10,717.47x = 14,787.71 × 6,469.22
  4. Step 4: Simplify right side
    10,717.47x = 95,664,949.29
  5. Step 5: Solve for x
    x = 95,664,949.29/10,717.47
  6. Step 6: Final answer
    x = 8,926.08

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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.