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Finding the Fourth Proportional to 6,322.27, 9,478 and 3,198.37

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Solution

The fourth proportional to 6,322.27, 9,478 and 3,198.37 is: 4,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.27 : 9,478 = 3,198.37 : x
  2. Step 2: Convert to fraction form
    6,322.27/9,478 = 3,198.37/x
  3. Step 3: Cross multiply
    6,322.27x = 9,478 × 3,198.37
  4. Step 4: Simplify right side
    6,322.27x = 30,314,150.86
  5. Step 5: Solve for x
    x = 30,314,150.86/6,322.27
  6. Step 6: Final answer
    x = 4,794.82

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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.