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Finding the Fourth Proportional to 8,517.93, 12,765.24 and 6,436.23

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Solution

The fourth proportional to 8,517.93, 12,765.24 and 6,436.23 is: 9,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.93 : 12,765.24 = 6,436.23 : x
  2. Step 2: Convert to fraction form
    8,517.93/12,765.24 = 6,436.23/x
  3. Step 3: Cross multiply
    8,517.93x = 12,765.24 × 6,436.23
  4. Step 4: Simplify right side
    8,517.93x = 82,160,020.65
  5. Step 5: Solve for x
    x = 82,160,020.65/8,517.93
  6. Step 6: Final answer
    x = 9,645.54

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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.