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Finding the Fourth Proportional to 6,400.26, 9,609.30 and 5,084.82

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Solution

The fourth proportional to 6,400.26, 9,609.30 and 5,084.82 is: 7,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.26 : 9,609.30 = 5,084.82 : x
  2. Step 2: Convert to fraction form
    6,400.26/9,609.30 = 5,084.82/x
  3. Step 3: Cross multiply
    6,400.26x = 9,609.30 × 5,084.82
  4. Step 4: Simplify right side
    6,400.26x = 48,861,560.83
  5. Step 5: Solve for x
    x = 48,861,560.83/6,400.26
  6. Step 6: Final answer
    x = 7,634.31

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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.