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Finding the Fourth Proportional to 6,976.48, 9,627.68 and 3,832.96

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Solution

The fourth proportional to 6,976.48, 9,627.68 and 3,832.96 is: 5,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.48 : 9,627.68 = 3,832.96 : x
  2. Step 2: Convert to fraction form
    6,976.48/9,627.68 = 3,832.96/x
  3. Step 3: Cross multiply
    6,976.48x = 9,627.68 × 3,832.96
  4. Step 4: Simplify right side
    6,976.48x = 36,902,512.33
  5. Step 5: Solve for x
    x = 36,902,512.33/6,976.48
  6. Step 6: Final answer
    x = 5,289.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.