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Finding the Fourth Proportional to 6,163.32, 9,242.94 and 2,464.59

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Solution

The fourth proportional to 6,163.32, 9,242.94 and 2,464.59 is: 3,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.32 : 9,242.94 = 2,464.59 : x
  2. Step 2: Convert to fraction form
    6,163.32/9,242.94 = 2,464.59/x
  3. Step 3: Cross multiply
    6,163.32x = 9,242.94 × 2,464.59
  4. Step 4: Simplify right side
    6,163.32x = 22,780,057.49
  5. Step 5: Solve for x
    x = 22,780,057.49/6,163.32
  6. Step 6: Final answer
    x = 3,696.07

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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.