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Finding the Fourth Proportional to 8,227.44, 12,333.87 and 6,144.93

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Solution

The fourth proportional to 8,227.44, 12,333.87 and 6,144.93 is: 9,211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.44 : 12,333.87 = 6,144.93 : x
  2. Step 2: Convert to fraction form
    8,227.44/12,333.87 = 6,144.93/x
  3. Step 3: Cross multiply
    8,227.44x = 12,333.87 × 6,144.93
  4. Step 4: Simplify right side
    8,227.44x = 75,790,767.78
  5. Step 5: Solve for x
    x = 75,790,767.78/8,227.44
  6. Step 6: Final answer
    x = 9,211.95

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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.