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Finding the Fourth Proportional to 8,144.64, 12,222.45 and 3,981.15

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Solution

The fourth proportional to 8,144.64, 12,222.45 and 3,981.15 is: 5,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.64 : 12,222.45 = 3,981.15 : x
  2. Step 2: Convert to fraction form
    8,144.64/12,222.45 = 3,981.15/x
  3. Step 3: Cross multiply
    8,144.64x = 12,222.45 × 3,981.15
  4. Step 4: Simplify right side
    8,144.64x = 48,659,406.82
  5. Step 5: Solve for x
    x = 48,659,406.82/8,144.64
  6. Step 6: Final answer
    x = 5,974.41

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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.