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Finding the Fourth Proportional to 9,541.97, 13,167.61 and 5,764.48

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Solution

The fourth proportional to 9,541.97, 13,167.61 and 5,764.48 is: 7,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.97 : 13,167.61 = 5,764.48 : x
  2. Step 2: Convert to fraction form
    9,541.97/13,167.61 = 5,764.48/x
  3. Step 3: Cross multiply
    9,541.97x = 13,167.61 × 5,764.48
  4. Step 4: Simplify right side
    9,541.97x = 75,904,424.49
  5. Step 5: Solve for x
    x = 75,904,424.49/9,541.97
  6. Step 6: Final answer
    x = 7,954.80

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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.