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Finding the Fourth Proportional to 6,861.85, 9,469.31 and 3,878.21

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Solution

The fourth proportional to 6,861.85, 9,469.31 and 3,878.21 is: 5,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.85 : 9,469.31 = 3,878.21 : x
  2. Step 2: Convert to fraction form
    6,861.85/9,469.31 = 3,878.21/x
  3. Step 3: Cross multiply
    6,861.85x = 9,469.31 × 3,878.21
  4. Step 4: Simplify right side
    6,861.85x = 36,723,977.02
  5. Step 5: Solve for x
    x = 36,723,977.02/6,861.85
  6. Step 6: Final answer
    x = 5,351.91

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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.