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Finding the Fourth Proportional to 8,122.14, 12,183.20 and 1,966.14

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Solution

The fourth proportional to 8,122.14, 12,183.20 and 1,966.14 is: 2,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.14 : 12,183.20 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    8,122.14/12,183.20 = 1,966.14/x
  3. Step 3: Cross multiply
    8,122.14x = 12,183.20 × 1,966.14
  4. Step 4: Simplify right side
    8,122.14x = 23,953,867.02
  5. Step 5: Solve for x
    x = 23,953,867.02/8,122.14
  6. Step 6: Final answer
    x = 2,949.21

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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.