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Finding the Fourth Proportional to 8,171.14, 12,245.91 and 2,972.02

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Solution

The fourth proportional to 8,171.14, 12,245.91 and 2,972.02 is: 4,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.14 : 12,245.91 = 2,972.02 : x
  2. Step 2: Convert to fraction form
    8,171.14/12,245.91 = 2,972.02/x
  3. Step 3: Cross multiply
    8,171.14x = 12,245.91 × 2,972.02
  4. Step 4: Simplify right side
    8,171.14x = 36,395,089.44
  5. Step 5: Solve for x
    x = 36,395,089.44/8,171.14
  6. Step 6: Final answer
    x = 4,454.10

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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.