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Finding the Fourth Proportional to 6,202.68, 9,305.04 and 2,874.25

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Solution

The fourth proportional to 6,202.68, 9,305.04 and 2,874.25 is: 4,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.68 : 9,305.04 = 2,874.25 : x
  2. Step 2: Convert to fraction form
    6,202.68/9,305.04 = 2,874.25/x
  3. Step 3: Cross multiply
    6,202.68x = 9,305.04 × 2,874.25
  4. Step 4: Simplify right side
    6,202.68x = 26,744,996.85
  5. Step 5: Solve for x
    x = 26,744,996.85/6,202.68
  6. Step 6: Final answer
    x = 4,311.85

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