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Finding the Fourth Proportional to 9,489.62, 14,234.23 and 3,164.95

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Solution

The fourth proportional to 9,489.62, 14,234.23 and 3,164.95 is: 4,747.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.62 : 14,234.23 = 3,164.95 : x
  2. Step 2: Convert to fraction form
    9,489.62/14,234.23 = 3,164.95/x
  3. Step 3: Cross multiply
    9,489.62x = 14,234.23 × 3,164.95
  4. Step 4: Simplify right side
    9,489.62x = 45,050,610.41
  5. Step 5: Solve for x
    x = 45,050,610.41/9,489.62
  6. Step 6: Final answer
    x = 4,747.36

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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.