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Finding the Fourth Proportional to 6,142.86, 9,217.92 and 2,446.80

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Solution

The fourth proportional to 6,142.86, 9,217.92 and 2,446.80 is: 3,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.86 : 9,217.92 = 2,446.80 : x
  2. Step 2: Convert to fraction form
    6,142.86/9,217.92 = 2,446.80/x
  3. Step 3: Cross multiply
    6,142.86x = 9,217.92 × 2,446.80
  4. Step 4: Simplify right side
    6,142.86x = 22,554,406.66
  5. Step 5: Solve for x
    x = 22,554,406.66/6,142.86
  6. Step 6: Final answer
    x = 3,671.65

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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.