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Finding the Fourth Proportional to 8,517.69, 12,785.85 and 6,289.70

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Solution

The fourth proportional to 8,517.69, 12,785.85 and 6,289.70 is: 9,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.69 : 12,785.85 = 6,289.70 : x
  2. Step 2: Convert to fraction form
    8,517.69/12,785.85 = 6,289.70/x
  3. Step 3: Cross multiply
    8,517.69x = 12,785.85 × 6,289.70
  4. Step 4: Simplify right side
    8,517.69x = 80,419,096.82
  5. Step 5: Solve for x
    x = 80,419,096.82/8,517.69
  6. Step 6: Final answer
    x = 9,441.42

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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.