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Finding the Fourth Proportional to 8,454.70, 12,678.39 and 6,508.27

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Solution

The fourth proportional to 8,454.70, 12,678.39 and 6,508.27 is: 9,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.70 : 12,678.39 = 6,508.27 : x
  2. Step 2: Convert to fraction form
    8,454.70/12,678.39 = 6,508.27/x
  3. Step 3: Cross multiply
    8,454.70x = 12,678.39 × 6,508.27
  4. Step 4: Simplify right side
    8,454.70x = 82,514,385.29
  5. Step 5: Solve for x
    x = 82,514,385.29/8,454.70
  6. Step 6: Final answer
    x = 9,759.59

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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.