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Finding the Fourth Proportional to 6,163.92, 9,239.65 and 2,656.22

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Solution

The fourth proportional to 6,163.92, 9,239.65 and 2,656.22 is: 3,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.92 : 9,239.65 = 2,656.22 : x
  2. Step 2: Convert to fraction form
    6,163.92/9,239.65 = 2,656.22/x
  3. Step 3: Cross multiply
    6,163.92x = 9,239.65 × 2,656.22
  4. Step 4: Simplify right side
    6,163.92x = 24,542,543.12
  5. Step 5: Solve for x
    x = 24,542,543.12/6,163.92
  6. Step 6: Final answer
    x = 3,981.65

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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.