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Finding the Fourth Proportional to 9,307.68, 13,963.56 and 3,067.44

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Solution

The fourth proportional to 9,307.68, 13,963.56 and 3,067.44 is: 4,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.68 : 13,963.56 = 3,067.44 : x
  2. Step 2: Convert to fraction form
    9,307.68/13,963.56 = 3,067.44/x
  3. Step 3: Cross multiply
    9,307.68x = 13,963.56 × 3,067.44
  4. Step 4: Simplify right side
    9,307.68x = 42,832,382.49
  5. Step 5: Solve for x
    x = 42,832,382.49/9,307.68
  6. Step 6: Final answer
    x = 4,601.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.