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Finding the Fourth Proportional to 9,194.16, 13,791.22 and 3,348.38

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Solution

The fourth proportional to 9,194.16, 13,791.22 and 3,348.38 is: 5,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.16 : 13,791.22 = 3,348.38 : x
  2. Step 2: Convert to fraction form
    9,194.16/13,791.22 = 3,348.38/x
  3. Step 3: Cross multiply
    9,194.16x = 13,791.22 × 3,348.38
  4. Step 4: Simplify right side
    9,194.16x = 46,178,245.22
  5. Step 5: Solve for x
    x = 46,178,245.22/9,194.16
  6. Step 6: Final answer
    x = 5,022.56

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