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Finding the Fourth Proportional to 9,194.18, 13,791.36 and 3,648.86

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Solution

The fourth proportional to 9,194.18, 13,791.36 and 3,648.86 is: 5,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.18 : 13,791.36 = 3,648.86 : x
  2. Step 2: Convert to fraction form
    9,194.18/13,791.36 = 3,648.86/x
  3. Step 3: Cross multiply
    9,194.18x = 13,791.36 × 3,648.86
  4. Step 4: Simplify right side
    9,194.18x = 50,322,741.85
  5. Step 5: Solve for x
    x = 50,322,741.85/9,194.18
  6. Step 6: Final answer
    x = 5,473.33

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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.