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Finding the Fourth Proportional to 6,944.68, 9,585.67 and 3,962.14

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Solution

The fourth proportional to 6,944.68, 9,585.67 and 3,962.14 is: 5,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.68 : 9,585.67 = 3,962.14 : x
  2. Step 2: Convert to fraction form
    6,944.68/9,585.67 = 3,962.14/x
  3. Step 3: Cross multiply
    6,944.68x = 9,585.67 × 3,962.14
  4. Step 4: Simplify right side
    6,944.68x = 37,979,766.53
  5. Step 5: Solve for x
    x = 37,979,766.53/6,944.68
  6. Step 6: Final answer
    x = 5,468.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.