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Finding the Fourth Proportional to 9,791.43, 13,511.96 and 5,542.41

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Solution

The fourth proportional to 9,791.43, 13,511.96 and 5,542.41 is: 7,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.43 : 13,511.96 = 5,542.41 : x
  2. Step 2: Convert to fraction form
    9,791.43/13,511.96 = 5,542.41/x
  3. Step 3: Cross multiply
    9,791.43x = 13,511.96 × 5,542.41
  4. Step 4: Simplify right side
    9,791.43x = 74,888,794.51
  5. Step 5: Solve for x
    x = 74,888,794.51/9,791.43
  6. Step 6: Final answer
    x = 7,648.40

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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.