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Finding the Fourth Proportional to 12,039.42, 16,614.13 and 6,734.73

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Solution

The fourth proportional to 12,039.42, 16,614.13 and 6,734.73 is: 9,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,039.42 : 16,614.13 = 6,734.73 : x
  2. Step 2: Convert to fraction form
    12,039.42/16,614.13 = 6,734.73/x
  3. Step 3: Cross multiply
    12,039.42x = 16,614.13 × 6,734.73
  4. Step 4: Simplify right side
    12,039.42x = 111,891,737.83
  5. Step 5: Solve for x
    x = 111,891,737.83/12,039.42
  6. Step 6: Final answer
    x = 9,293.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.