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Finding the Fourth Proportional to 7,149.92, 9,871.77 and 4,462.19

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Solution

The fourth proportional to 7,149.92, 9,871.77 and 4,462.19 is: 6,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.92 : 9,871.77 = 4,462.19 : x
  2. Step 2: Convert to fraction form
    7,149.92/9,871.77 = 4,462.19/x
  3. Step 3: Cross multiply
    7,149.92x = 9,871.77 × 4,462.19
  4. Step 4: Simplify right side
    7,149.92x = 44,049,717.77
  5. Step 5: Solve for x
    x = 44,049,717.77/7,149.92
  6. Step 6: Final answer
    x = 6,160.87

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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.