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Finding the Fourth Proportional to 8,442.20, 12,659.65 and 6,495.77

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Solution

The fourth proportional to 8,442.20, 12,659.65 and 6,495.77 is: 9,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.20 : 12,659.65 = 6,495.77 : x
  2. Step 2: Convert to fraction form
    8,442.20/12,659.65 = 6,495.77/x
  3. Step 3: Cross multiply
    8,442.20x = 12,659.65 × 6,495.77
  4. Step 4: Simplify right side
    8,442.20x = 82,234,174.68
  5. Step 5: Solve for x
    x = 82,234,174.68/8,442.20
  6. Step 6: Final answer
    x = 9,740.85

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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.