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Finding the Fourth Proportional to 6,157.26, 9,238.62 and 3,234.90

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Solution

The fourth proportional to 6,157.26, 9,238.62 and 3,234.90 is: 4,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.26 : 9,238.62 = 3,234.90 : x
  2. Step 2: Convert to fraction form
    6,157.26/9,238.62 = 3,234.90/x
  3. Step 3: Cross multiply
    6,157.26x = 9,238.62 × 3,234.90
  4. Step 4: Simplify right side
    6,157.26x = 29,886,011.84
  5. Step 5: Solve for x
    x = 29,886,011.84/6,157.26
  6. Step 6: Final answer
    x = 4,853.78

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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.