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Finding the Fourth Proportional to 6,163.32, 9,239.70 and 2,468.16

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Solution

The fourth proportional to 6,163.32, 9,239.70 and 2,468.16 is: 3,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.32 : 9,239.70 = 2,468.16 : x
  2. Step 2: Convert to fraction form
    6,163.32/9,239.70 = 2,468.16/x
  3. Step 3: Cross multiply
    6,163.32x = 9,239.70 × 2,468.16
  4. Step 4: Simplify right side
    6,163.32x = 22,805,057.95
  5. Step 5: Solve for x
    x = 22,805,057.95/6,163.32
  6. Step 6: Final answer
    x = 3,700.13

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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.