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Finding the Fourth Proportional to 6,218.14, 9,324.46 and 3,295.76

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Solution

The fourth proportional to 6,218.14, 9,324.46 and 3,295.76 is: 4,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.14 : 9,324.46 = 3,295.76 : x
  2. Step 2: Convert to fraction form
    6,218.14/9,324.46 = 3,295.76/x
  3. Step 3: Cross multiply
    6,218.14x = 9,324.46 × 3,295.76
  4. Step 4: Simplify right side
    6,218.14x = 30,731,182.29
  5. Step 5: Solve for x
    x = 30,731,182.29/6,218.14
  6. Step 6: Final answer
    x = 4,942.18

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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.