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Finding the Fourth Proportional to 6,212.52, 9,318.78 and 5,832.36

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Solution

The fourth proportional to 6,212.52, 9,318.78 and 5,832.36 is: 8,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.52 : 9,318.78 = 5,832.36 : x
  2. Step 2: Convert to fraction form
    6,212.52/9,318.78 = 5,832.36/x
  3. Step 3: Cross multiply
    6,212.52x = 9,318.78 × 5,832.36
  4. Step 4: Simplify right side
    6,212.52x = 54,350,479.72
  5. Step 5: Solve for x
    x = 54,350,479.72/6,212.52
  6. Step 6: Final answer
    x = 8,748.54

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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.