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Finding the Fourth Proportional to 6,861.53, 9,468.33 and 3,877.89

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Solution

The fourth proportional to 6,861.53, 9,468.33 and 3,877.89 is: 5,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.53 : 9,468.33 = 3,877.89 : x
  2. Step 2: Convert to fraction form
    6,861.53/9,468.33 = 3,877.89/x
  3. Step 3: Cross multiply
    6,861.53x = 9,468.33 × 3,877.89
  4. Step 4: Simplify right side
    6,861.53x = 36,717,142.22
  5. Step 5: Solve for x
    x = 36,717,142.22/6,861.53
  6. Step 6: Final answer
    x = 5,351.16

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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.