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Finding the Fourth Proportional to 8,171.47, 12,257.34 and 3,952.27

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Solution

The fourth proportional to 8,171.47, 12,257.34 and 3,952.27 is: 5,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.47 : 12,257.34 = 3,952.27 : x
  2. Step 2: Convert to fraction form
    8,171.47/12,257.34 = 3,952.27/x
  3. Step 3: Cross multiply
    8,171.47x = 12,257.34 × 3,952.27
  4. Step 4: Simplify right side
    8,171.47x = 48,444,317.16
  5. Step 5: Solve for x
    x = 48,444,317.16/8,171.47
  6. Step 6: Final answer
    x = 5,928.47

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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.