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Finding the Fourth Proportional to 6,163.36, 9,240.72 and 2,267.26

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Solution

The fourth proportional to 6,163.36, 9,240.72 and 2,267.26 is: 3,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.36 : 9,240.72 = 2,267.26 : x
  2. Step 2: Convert to fraction form
    6,163.36/9,240.72 = 2,267.26/x
  3. Step 3: Cross multiply
    6,163.36x = 9,240.72 × 2,267.26
  4. Step 4: Simplify right side
    6,163.36x = 20,951,114.83
  5. Step 5: Solve for x
    x = 20,951,114.83/6,163.36
  6. Step 6: Final answer
    x = 3,399.30

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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.