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Finding the Fourth Proportional to 9,882.12, 14,823.18 and 3,961.69

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Solution

The fourth proportional to 9,882.12, 14,823.18 and 3,961.69 is: 5,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.12 : 14,823.18 = 3,961.69 : x
  2. Step 2: Convert to fraction form
    9,882.12/14,823.18 = 3,961.69/x
  3. Step 3: Cross multiply
    9,882.12x = 14,823.18 × 3,961.69
  4. Step 4: Simplify right side
    9,882.12x = 58,724,843.97
  5. Step 5: Solve for x
    x = 58,724,843.97/9,882.12
  6. Step 6: Final answer
    x = 5,942.54

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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.