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Finding the Fourth Proportional to 9,489.61, 14,234.70 and 2,469.48

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Solution

The fourth proportional to 9,489.61, 14,234.70 and 2,469.48 is: 3,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.61 : 14,234.70 = 2,469.48 : x
  2. Step 2: Convert to fraction form
    9,489.61/14,234.70 = 2,469.48/x
  3. Step 3: Cross multiply
    9,489.61x = 14,234.70 × 2,469.48
  4. Step 4: Simplify right side
    9,489.61x = 35,152,262.84
  5. Step 5: Solve for x
    x = 35,152,262.84/9,489.61
  6. Step 6: Final answer
    x = 3,704.29

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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.