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Finding the Fourth Proportional to 6,214.38, 9,321.67 and 3,286.64

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Solution

The fourth proportional to 6,214.38, 9,321.67 and 3,286.64 is: 4,930.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.38 : 9,321.67 = 3,286.64 : x
  2. Step 2: Convert to fraction form
    6,214.38/9,321.67 = 3,286.64/x
  3. Step 3: Cross multiply
    6,214.38x = 9,321.67 × 3,286.64
  4. Step 4: Simplify right side
    6,214.38x = 30,636,926.88
  5. Step 5: Solve for x
    x = 30,636,926.88/6,214.38
  6. Step 6: Final answer
    x = 4,930.01

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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.