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Finding the Fourth Proportional to 8,442.18, 12,652.47 and 6,187.86

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Solution

The fourth proportional to 8,442.18, 12,652.47 and 6,187.86 is: 9,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.18 : 12,652.47 = 6,187.86 : x
  2. Step 2: Convert to fraction form
    8,442.18/12,652.47 = 6,187.86/x
  3. Step 3: Cross multiply
    8,442.18x = 12,652.47 × 6,187.86
  4. Step 4: Simplify right side
    8,442.18x = 78,291,713.01
  5. Step 5: Solve for x
    x = 78,291,713.01/8,442.18
  6. Step 6: Final answer
    x = 9,273.87

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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.