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Finding the Fourth Proportional to 9,489.47, 14,234.21 and 2,563.97

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Solution

The fourth proportional to 9,489.47, 14,234.21 and 2,563.97 is: 3,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.47 : 14,234.21 = 2,563.97 : x
  2. Step 2: Convert to fraction form
    9,489.47/14,234.21 = 2,563.97/x
  3. Step 3: Cross multiply
    9,489.47x = 14,234.21 × 2,563.97
  4. Step 4: Simplify right side
    9,489.47x = 36,496,087.41
  5. Step 5: Solve for x
    x = 36,496,087.41/9,489.47
  6. Step 6: Final answer
    x = 3,845.96

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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.