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Finding the Fourth Proportional to 6,861.00, 9,468.44 and 3,877.17

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Solution

The fourth proportional to 6,861.00, 9,468.44 and 3,877.17 is: 5,350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.00 : 9,468.44 = 3,877.17 : x
  2. Step 2: Convert to fraction form
    6,861.00/9,468.44 = 3,877.17/x
  3. Step 3: Cross multiply
    6,861.00x = 9,468.44 × 3,877.17
  4. Step 4: Simplify right side
    6,861.00x = 36,710,732.97
  5. Step 5: Solve for x
    x = 36,710,732.97/6,861.00
  6. Step 6: Final answer
    x = 5,350.64

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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.