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Finding the Fourth Proportional to 6,559.54, 9,834.45 and 3,961.87

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Solution

The fourth proportional to 6,559.54, 9,834.45 and 3,961.87 is: 5,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.54 : 9,834.45 = 3,961.87 : x
  2. Step 2: Convert to fraction form
    6,559.54/9,834.45 = 3,961.87/x
  3. Step 3: Cross multiply
    6,559.54x = 9,834.45 × 3,961.87
  4. Step 4: Simplify right side
    6,559.54x = 38,962,832.14
  5. Step 5: Solve for x
    x = 38,962,832.14/6,559.54
  6. Step 6: Final answer
    x = 5,939.87

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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.