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Finding the Fourth Proportional to 6,206.92, 8,565.24 and 3,553.72

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Solution

The fourth proportional to 6,206.92, 8,565.24 and 3,553.72 is: 4,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.92 : 8,565.24 = 3,553.72 : x
  2. Step 2: Convert to fraction form
    6,206.92/8,565.24 = 3,553.72/x
  3. Step 3: Cross multiply
    6,206.92x = 8,565.24 × 3,553.72
  4. Step 4: Simplify right side
    6,206.92x = 30,438,464.69
  5. Step 5: Solve for x
    x = 30,438,464.69/6,206.92
  6. Step 6: Final answer
    x = 4,903.96

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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.