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Finding the Fourth Proportional to 6,861.29, 9,468.54 and 3,878.09

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Solution

The fourth proportional to 6,861.29, 9,468.54 and 3,878.09 is: 5,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.29 : 9,468.54 = 3,878.09 : x
  2. Step 2: Convert to fraction form
    6,861.29/9,468.54 = 3,878.09/x
  3. Step 3: Cross multiply
    6,861.29x = 9,468.54 × 3,878.09
  4. Step 4: Simplify right side
    6,861.29x = 36,719,850.29
  5. Step 5: Solve for x
    x = 36,719,850.29/6,861.29
  6. Step 6: Final answer
    x = 5,351.74

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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.