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Finding the Fourth Proportional to 6,856.92, 9,462.60 and 3,713.13

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Solution

The fourth proportional to 6,856.92, 9,462.60 and 3,713.13 is: 5,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.92 : 9,462.60 = 3,713.13 : x
  2. Step 2: Convert to fraction form
    6,856.92/9,462.60 = 3,713.13/x
  3. Step 3: Cross multiply
    6,856.92x = 9,462.60 × 3,713.13
  4. Step 4: Simplify right side
    6,856.92x = 35,135,863.94
  5. Step 5: Solve for x
    x = 35,135,863.94/6,856.92
  6. Step 6: Final answer
    x = 5,124.15

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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.