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Finding the Fourth Proportional to 6,559.38, 9,837 and 2,608.92

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Solution

The fourth proportional to 6,559.38, 9,837 and 2,608.92 is: 3,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.38 : 9,837 = 2,608.92 : x
  2. Step 2: Convert to fraction form
    6,559.38/9,837 = 2,608.92/x
  3. Step 3: Cross multiply
    6,559.38x = 9,837 × 2,608.92
  4. Step 4: Simplify right side
    6,559.38x = 25,663,946.04
  5. Step 5: Solve for x
    x = 25,663,946.04/6,559.38
  6. Step 6: Final answer
    x = 3,912.56

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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.