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Finding the Fourth Proportional to 6,535.92, 9,806.28 and 3,027.56

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Solution

The fourth proportional to 6,535.92, 9,806.28 and 3,027.56 is: 4,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.92 : 9,806.28 = 3,027.56 : x
  2. Step 2: Convert to fraction form
    6,535.92/9,806.28 = 3,027.56/x
  3. Step 3: Cross multiply
    6,535.92x = 9,806.28 × 3,027.56
  4. Step 4: Simplify right side
    6,535.92x = 29,689,101.08
  5. Step 5: Solve for x
    x = 29,689,101.08/6,535.92
  6. Step 6: Final answer
    x = 4,542.45

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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.