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Finding the Fourth Proportional to 6,523.44, 9,785.99 and 2,139.40

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Solution

The fourth proportional to 6,523.44, 9,785.99 and 2,139.40 is: 3,209.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.44 : 9,785.99 = 2,139.40 : x
  2. Step 2: Convert to fraction form
    6,523.44/9,785.99 = 2,139.40/x
  3. Step 3: Cross multiply
    6,523.44x = 9,785.99 × 2,139.40
  4. Step 4: Simplify right side
    6,523.44x = 20,936,147.01
  5. Step 5: Solve for x
    x = 20,936,147.01/6,523.44
  6. Step 6: Final answer
    x = 3,209.37

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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.