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Finding the Fourth Proportional to 6,233.25, 9,353.93 and 3,313.61

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Solution

The fourth proportional to 6,233.25, 9,353.93 and 3,313.61 is: 4,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.25 : 9,353.93 = 3,313.61 : x
  2. Step 2: Convert to fraction form
    6,233.25/9,353.93 = 3,313.61/x
  3. Step 3: Cross multiply
    6,233.25x = 9,353.93 × 3,313.61
  4. Step 4: Simplify right side
    6,233.25x = 30,995,212.65
  5. Step 5: Solve for x
    x = 30,995,212.65/6,233.25
  6. Step 6: Final answer
    x = 4,972.56

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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.