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Finding the Fourth Proportional to 6,126.45, 9,163.96 and 5,163.83

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Solution

The fourth proportional to 6,126.45, 9,163.96 and 5,163.83 is: 7,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.45 : 9,163.96 = 5,163.83 : x
  2. Step 2: Convert to fraction form
    6,126.45/9,163.96 = 5,163.83/x
  3. Step 3: Cross multiply
    6,126.45x = 9,163.96 × 5,163.83
  4. Step 4: Simplify right side
    6,126.45x = 47,321,131.57
  5. Step 5: Solve for x
    x = 47,321,131.57/6,126.45
  6. Step 6: Final answer
    x = 7,724.07

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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.