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Finding the Fourth Proportional to 6,542.38, 9,813.34 and 1,862.42

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Solution

The fourth proportional to 6,542.38, 9,813.34 and 1,862.42 is: 2,793.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.38 : 9,813.34 = 1,862.42 : x
  2. Step 2: Convert to fraction form
    6,542.38/9,813.34 = 1,862.42/x
  3. Step 3: Cross multiply
    6,542.38x = 9,813.34 × 1,862.42
  4. Step 4: Simplify right side
    6,542.38x = 18,276,516.27
  5. Step 5: Solve for x
    x = 18,276,516.27/6,542.38
  6. Step 6: Final answer
    x = 2,793.56

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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.