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Finding the Fourth Proportional to 8,269.62, 12,393.86 and 3,877.40

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Solution

The fourth proportional to 8,269.62, 12,393.86 and 3,877.40 is: 5,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.62 : 12,393.86 = 3,877.40 : x
  2. Step 2: Convert to fraction form
    8,269.62/12,393.86 = 3,877.40/x
  3. Step 3: Cross multiply
    8,269.62x = 12,393.86 × 3,877.40
  4. Step 4: Simplify right side
    8,269.62x = 48,055,952.76
  5. Step 5: Solve for x
    x = 48,055,952.76/8,269.62
  6. Step 6: Final answer
    x = 5,811.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.