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Finding the Fourth Proportional to 10,067.78, 13,894.64 and 6,091.09

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Solution

The fourth proportional to 10,067.78, 13,894.64 and 6,091.09 is: 8,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.78 : 13,894.64 = 6,091.09 : x
  2. Step 2: Convert to fraction form
    10,067.78/13,894.64 = 6,091.09/x
  3. Step 3: Cross multiply
    10,067.78x = 13,894.64 × 6,091.09
  4. Step 4: Simplify right side
    10,067.78x = 84,633,437.57
  5. Step 5: Solve for x
    x = 84,633,437.57/10,067.78
  6. Step 6: Final answer
    x = 8,406.36

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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.