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Finding the Fourth Proportional to 6,641.43, 9,163.10 and 3,769.68

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Solution

The fourth proportional to 6,641.43, 9,163.10 and 3,769.68 is: 5,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.43 : 9,163.10 = 3,769.68 : x
  2. Step 2: Convert to fraction form
    6,641.43/9,163.10 = 3,769.68/x
  3. Step 3: Cross multiply
    6,641.43x = 9,163.10 × 3,769.68
  4. Step 4: Simplify right side
    6,641.43x = 34,541,998.59
  5. Step 5: Solve for x
    x = 34,541,998.59/6,641.43
  6. Step 6: Final answer
    x = 5,200.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.