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Finding the Fourth Proportional to 6,216.38, 9,327.35 and 3,294

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Solution

The fourth proportional to 6,216.38, 9,327.35 and 3,294 is: 4,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.38 : 9,327.35 = 3,294 : x
  2. Step 2: Convert to fraction form
    6,216.38/9,327.35 = 3,294/x
  3. Step 3: Cross multiply
    6,216.38x = 9,327.35 × 3,294
  4. Step 4: Simplify right side
    6,216.38x = 30,724,299.14
  5. Step 5: Solve for x
    x = 30,724,299.14/6,216.38
  6. Step 6: Final answer
    x = 4,942.48

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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.