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Finding the Fourth Proportional to 6,861.37, 9,468.57 and 3,877.25

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Solution

The fourth proportional to 6,861.37, 9,468.57 and 3,877.25 is: 5,350.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.37 : 9,468.57 = 3,877.25 : x
  2. Step 2: Convert to fraction form
    6,861.37/9,468.57 = 3,877.25/x
  3. Step 3: Cross multiply
    6,861.37x = 9,468.57 × 3,877.25
  4. Step 4: Simplify right side
    6,861.37x = 36,712,062.53
  5. Step 5: Solve for x
    x = 36,712,062.53/6,861.37
  6. Step 6: Final answer
    x = 5,350.54

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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.