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Finding the Fourth Proportional to 9,982.73, 13,767.41 and 7,992.56

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Solution

The fourth proportional to 9,982.73, 13,767.41 and 7,992.56 is: 11,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.73 : 13,767.41 = 7,992.56 : x
  2. Step 2: Convert to fraction form
    9,982.73/13,767.41 = 7,992.56/x
  3. Step 3: Cross multiply
    9,982.73x = 13,767.41 × 7,992.56
  4. Step 4: Simplify right side
    9,982.73x = 110,036,801.61
  5. Step 5: Solve for x
    x = 110,036,801.61/9,982.73
  6. Step 6: Final answer
    x = 11,022.72

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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.