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Finding the Fourth Proportional to 9,166.26, 13,747.19 and 4,231.16

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Solution

The fourth proportional to 9,166.26, 13,747.19 and 4,231.16 is: 6,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.26 : 13,747.19 = 4,231.16 : x
  2. Step 2: Convert to fraction form
    9,166.26/13,747.19 = 4,231.16/x
  3. Step 3: Cross multiply
    9,166.26x = 13,747.19 × 4,231.16
  4. Step 4: Simplify right side
    9,166.26x = 58,166,596.47
  5. Step 5: Solve for x
    x = 58,166,596.47/9,166.26
  6. Step 6: Final answer
    x = 6,345.73

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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.