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Finding the Fourth Proportional to 8,414.42, 12,607.70 and 3,727.40

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Solution

The fourth proportional to 8,414.42, 12,607.70 and 3,727.40 is: 5,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.42 : 12,607.70 = 3,727.40 : x
  2. Step 2: Convert to fraction form
    8,414.42/12,607.70 = 3,727.40/x
  3. Step 3: Cross multiply
    8,414.42x = 12,607.70 × 3,727.40
  4. Step 4: Simplify right side
    8,414.42x = 46,993,859.30
  5. Step 5: Solve for x
    x = 46,993,859.30/8,414.42
  6. Step 6: Final answer
    x = 5,584.92

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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.