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Finding the Fourth Proportional to 6,324.42, 9,481.27 and 2,624.34

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Solution

The fourth proportional to 6,324.42, 9,481.27 and 2,624.34 is: 3,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.42 : 9,481.27 = 2,624.34 : x
  2. Step 2: Convert to fraction form
    6,324.42/9,481.27 = 2,624.34/x
  3. Step 3: Cross multiply
    6,324.42x = 9,481.27 × 2,624.34
  4. Step 4: Simplify right side
    6,324.42x = 24,882,076.11
  5. Step 5: Solve for x
    x = 24,882,076.11/6,324.42
  6. Step 6: Final answer
    x = 3,934.29

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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.