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Finding the Fourth Proportional to 9,234.08, 13,863.42 and 7,856.27

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Solution

The fourth proportional to 9,234.08, 13,863.42 and 7,856.27 is: 11,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.08 : 13,863.42 = 7,856.27 : x
  2. Step 2: Convert to fraction form
    9,234.08/13,863.42 = 7,856.27/x
  3. Step 3: Cross multiply
    9,234.08x = 13,863.42 × 7,856.27
  4. Step 4: Simplify right side
    9,234.08x = 108,914,770.64
  5. Step 5: Solve for x
    x = 108,914,770.64/9,234.08
  6. Step 6: Final answer
    x = 11,794.87

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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.