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Finding the Fourth Proportional to 6,212.40, 9,324.06 and 5,239.18

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Solution

The fourth proportional to 6,212.40, 9,324.06 and 5,239.18 is: 7,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.40 : 9,324.06 = 5,239.18 : x
  2. Step 2: Convert to fraction form
    6,212.40/9,324.06 = 5,239.18/x
  3. Step 3: Cross multiply
    6,212.40x = 9,324.06 × 5,239.18
  4. Step 4: Simplify right side
    6,212.40x = 48,850,428.67
  5. Step 5: Solve for x
    x = 48,850,428.67/6,212.40
  6. Step 6: Final answer
    x = 7,863.37

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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.