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Finding the Fourth Proportional to 9,067.78, 13,600 and 3,801.39

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Solution

The fourth proportional to 9,067.78, 13,600 and 3,801.39 is: 5,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,067.78 : 13,600 = 3,801.39 : x
  2. Step 2: Convert to fraction form
    9,067.78/13,600 = 3,801.39/x
  3. Step 3: Cross multiply
    9,067.78x = 13,600 × 3,801.39
  4. Step 4: Simplify right side
    9,067.78x = 51,698,904
  5. Step 5: Solve for x
    x = 51,698,904/9,067.78
  6. Step 6: Final answer
    x = 5,701.38

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Why These Related Problems?

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