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Finding the Fourth Proportional to 6,758.46, 9,322.79 and 4,067.82

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Solution

The fourth proportional to 6,758.46, 9,322.79 and 4,067.82 is: 5,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.46 : 9,322.79 = 4,067.82 : x
  2. Step 2: Convert to fraction form
    6,758.46/9,322.79 = 4,067.82/x
  3. Step 3: Cross multiply
    6,758.46x = 9,322.79 × 4,067.82
  4. Step 4: Simplify right side
    6,758.46x = 37,923,411.28
  5. Step 5: Solve for x
    x = 37,923,411.28/6,758.46
  6. Step 6: Final answer
    x = 5,611.25

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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.