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Finding the Fourth Proportional to 9,791.26, 13,511.91 and 5,314.97

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Solution

The fourth proportional to 9,791.26, 13,511.91 and 5,314.97 is: 7,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.26 : 13,511.91 = 5,314.97 : x
  2. Step 2: Convert to fraction form
    9,791.26/13,511.91 = 5,314.97/x
  3. Step 3: Cross multiply
    9,791.26x = 13,511.91 × 5,314.97
  4. Step 4: Simplify right side
    9,791.26x = 71,815,328.73
  5. Step 5: Solve for x
    x = 71,815,328.73/9,791.26
  6. Step 6: Final answer
    x = 7,334.64

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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.