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Finding the Fourth Proportional to 9,954.29, 13,732.31 and 5,968.48

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Solution

The fourth proportional to 9,954.29, 13,732.31 and 5,968.48 is: 8,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.29 : 13,732.31 = 5,968.48 : x
  2. Step 2: Convert to fraction form
    9,954.29/13,732.31 = 5,968.48/x
  3. Step 3: Cross multiply
    9,954.29x = 13,732.31 × 5,968.48
  4. Step 4: Simplify right side
    9,954.29x = 81,960,919.08
  5. Step 5: Solve for x
    x = 81,960,919.08/9,954.29
  6. Step 6: Final answer
    x = 8,233.73

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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.