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Finding the Fourth Proportional to 6,355.92, 9,517.92 and 3,855.76

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Solution

The fourth proportional to 6,355.92, 9,517.92 and 3,855.76 is: 5,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.92 : 9,517.92 = 3,855.76 : x
  2. Step 2: Convert to fraction form
    6,355.92/9,517.92 = 3,855.76/x
  3. Step 3: Cross multiply
    6,355.92x = 9,517.92 × 3,855.76
  4. Step 4: Simplify right side
    6,355.92x = 36,698,815.22
  5. Step 5: Solve for x
    x = 36,698,815.22/6,355.92
  6. Step 6: Final answer
    x = 5,773.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.