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Finding the Fourth Proportional to 9,874.24, 13,624.96 and 6,337.92

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Solution

The fourth proportional to 9,874.24, 13,624.96 and 6,337.92 is: 8,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.24 : 13,624.96 = 6,337.92 : x
  2. Step 2: Convert to fraction form
    9,874.24/13,624.96 = 6,337.92/x
  3. Step 3: Cross multiply
    9,874.24x = 13,624.96 × 6,337.92
  4. Step 4: Simplify right side
    9,874.24x = 86,353,906.48
  5. Step 5: Solve for x
    x = 86,353,906.48/9,874.24
  6. Step 6: Final answer
    x = 8,745.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.