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Finding the Fourth Proportional to 6,523.47, 9,785.77 and 2,081.79

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Solution

The fourth proportional to 6,523.47, 9,785.77 and 2,081.79 is: 3,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.47 : 9,785.77 = 2,081.79 : x
  2. Step 2: Convert to fraction form
    6,523.47/9,785.77 = 2,081.79/x
  3. Step 3: Cross multiply
    6,523.47x = 9,785.77 × 2,081.79
  4. Step 4: Simplify right side
    6,523.47x = 20,371,912.92
  5. Step 5: Solve for x
    x = 20,371,912.92/6,523.47
  6. Step 6: Final answer
    x = 3,122.86

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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.