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Finding the Fourth Proportional to 6,519.59, 9,781.21 and 2,140.12

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Solution

The fourth proportional to 6,519.59, 9,781.21 and 2,140.12 is: 3,210.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.59 : 9,781.21 = 2,140.12 : x
  2. Step 2: Convert to fraction form
    6,519.59/9,781.21 = 2,140.12/x
  3. Step 3: Cross multiply
    6,519.59x = 9,781.21 × 2,140.12
  4. Step 4: Simplify right side
    6,519.59x = 20,933,005.56
  5. Step 5: Solve for x
    x = 20,933,005.56/6,519.59
  6. Step 6: Final answer
    x = 3,210.78

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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.