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Finding the Fourth Proportional to 6,154.26, 9,234.09 and 3,231.90

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Solution

The fourth proportional to 6,154.26, 9,234.09 and 3,231.90 is: 4,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.26 : 9,234.09 = 3,231.90 : x
  2. Step 2: Convert to fraction form
    6,154.26/9,234.09 = 3,231.90/x
  3. Step 3: Cross multiply
    6,154.26x = 9,234.09 × 3,231.90
  4. Step 4: Simplify right side
    6,154.26x = 29,843,655.47
  5. Step 5: Solve for x
    x = 29,843,655.47/6,154.26
  6. Step 6: Final answer
    x = 4,849.27

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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.