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Finding the Fourth Proportional to 6,861.41, 9,468.18 and 3,877.50

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Solution

The fourth proportional to 6,861.41, 9,468.18 and 3,877.50 is: 5,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.41 : 9,468.18 = 3,877.50 : x
  2. Step 2: Convert to fraction form
    6,861.41/9,468.18 = 3,877.50/x
  3. Step 3: Cross multiply
    6,861.41x = 9,468.18 × 3,877.50
  4. Step 4: Simplify right side
    6,861.41x = 36,712,867.95
  5. Step 5: Solve for x
    x = 36,712,867.95/6,861.41
  6. Step 6: Final answer
    x = 5,350.63

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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.