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Finding the Fourth Proportional to 6,861.77, 9,468.69 and 3,877.86

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Solution

The fourth proportional to 6,861.77, 9,468.69 and 3,877.86 is: 5,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.77 : 9,468.69 = 3,877.86 : x
  2. Step 2: Convert to fraction form
    6,861.77/9,468.69 = 3,877.86/x
  3. Step 3: Cross multiply
    6,861.77x = 9,468.69 × 3,877.86
  4. Step 4: Simplify right side
    6,861.77x = 36,718,254.20
  5. Step 5: Solve for x
    x = 36,718,254.20/6,861.77
  6. Step 6: Final answer
    x = 5,351.14

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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.