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Finding the Fourth Proportional to 9,747.68, 14,621.92 and 8,115.73

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Solution

The fourth proportional to 9,747.68, 14,621.92 and 8,115.73 is: 12,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.68 : 14,621.92 = 8,115.73 : x
  2. Step 2: Convert to fraction form
    9,747.68/14,621.92 = 8,115.73/x
  3. Step 3: Cross multiply
    9,747.68x = 14,621.92 × 8,115.73
  4. Step 4: Simplify right side
    9,747.68x = 118,667,497.96
  5. Step 5: Solve for x
    x = 118,667,497.96/9,747.68
  6. Step 6: Final answer
    x = 12,173.93

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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.