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Finding the Fourth Proportional to 8,634.30, 12,951.66 and 6,456.85

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Solution

The fourth proportional to 8,634.30, 12,951.66 and 6,456.85 is: 9,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.30 : 12,951.66 = 6,456.85 : x
  2. Step 2: Convert to fraction form
    8,634.30/12,951.66 = 6,456.85/x
  3. Step 3: Cross multiply
    8,634.30x = 12,951.66 × 6,456.85
  4. Step 4: Simplify right side
    8,634.30x = 83,626,917.71
  5. Step 5: Solve for x
    x = 83,626,917.71/8,634.30
  6. Step 6: Final answer
    x = 9,685.44

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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.