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Finding the Fourth Proportional to 7,932.96, 11,902.32 and 6,481.44

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Solution

The fourth proportional to 7,932.96, 11,902.32 and 6,481.44 is: 9,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.96 : 11,902.32 = 6,481.44 : x
  2. Step 2: Convert to fraction form
    7,932.96/11,902.32 = 6,481.44/x
  3. Step 3: Cross multiply
    7,932.96x = 11,902.32 × 6,481.44
  4. Step 4: Simplify right side
    7,932.96x = 77,144,172.94
  5. Step 5: Solve for x
    x = 77,144,172.94/7,932.96
  6. Step 6: Final answer
    x = 9,724.51

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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.