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Finding the Fourth Proportional to 6,126.33, 9,163.77 and 5,163.71

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Solution

The fourth proportional to 6,126.33, 9,163.77 and 5,163.71 is: 7,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.33 : 9,163.77 = 5,163.71 : x
  2. Step 2: Convert to fraction form
    6,126.33/9,163.77 = 5,163.71/x
  3. Step 3: Cross multiply
    6,126.33x = 9,163.77 × 5,163.71
  4. Step 4: Simplify right side
    6,126.33x = 47,319,004.97
  5. Step 5: Solve for x
    x = 47,319,004.97/6,126.33
  6. Step 6: Final answer
    x = 7,723.87

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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.