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Finding the Fourth Proportional to 6,542.11, 9,809.52 and 2,158.39

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Solution

The fourth proportional to 6,542.11, 9,809.52 and 2,158.39 is: 3,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.11 : 9,809.52 = 2,158.39 : x
  2. Step 2: Convert to fraction form
    6,542.11/9,809.52 = 2,158.39/x
  3. Step 3: Cross multiply
    6,542.11x = 9,809.52 × 2,158.39
  4. Step 4: Simplify right side
    6,542.11x = 21,172,769.87
  5. Step 5: Solve for x
    x = 21,172,769.87/6,542.11
  6. Step 6: Final answer
    x = 3,236.38

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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.