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Finding the Fourth Proportional to 9,791.17, 13,511.82 and 5,314.92

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Solution

The fourth proportional to 9,791.17, 13,511.82 and 5,314.92 is: 7,334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.17 : 13,511.82 = 5,314.92 : x
  2. Step 2: Convert to fraction form
    9,791.17/13,511.82 = 5,314.92/x
  3. Step 3: Cross multiply
    9,791.17x = 13,511.82 × 5,314.92
  4. Step 4: Simplify right side
    9,791.17x = 71,814,174.80
  5. Step 5: Solve for x
    x = 71,814,174.80/9,791.17
  6. Step 6: Final answer
    x = 7,334.59

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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.