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Finding the Fourth Proportional to 6,642.68, 9,965.56 and 2,260.14

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Solution

The fourth proportional to 6,642.68, 9,965.56 and 2,260.14 is: 3,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.68 : 9,965.56 = 2,260.14 : x
  2. Step 2: Convert to fraction form
    6,642.68/9,965.56 = 2,260.14/x
  3. Step 3: Cross multiply
    6,642.68x = 9,965.56 × 2,260.14
  4. Step 4: Simplify right side
    6,642.68x = 22,523,560.78
  5. Step 5: Solve for x
    x = 22,523,560.78/6,642.68
  6. Step 6: Final answer
    x = 3,390.73

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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.