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Finding the Fourth Proportional to 9,067.68, 13,546.44 and 5,754.24

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Solution

The fourth proportional to 9,067.68, 13,546.44 and 5,754.24 is: 8,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.68 : 13,546.44 = 5,754.24 : x
  2. Step 2: Convert to fraction form
    9,067.68/13,546.44 = 5,754.24/x
  3. Step 3: Cross multiply
    9,067.68x = 13,546.44 × 5,754.24
  4. Step 4: Simplify right side
    9,067.68x = 77,949,466.91
  5. Step 5: Solve for x
    x = 77,949,466.91/9,067.68
  6. Step 6: Final answer
    x = 8,596.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.