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Finding the Fourth Proportional to 9,200.16, 13,791.24 and 3,651.66

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Solution

The fourth proportional to 9,200.16, 13,791.24 and 3,651.66 is: 5,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.16 : 13,791.24 = 3,651.66 : x
  2. Step 2: Convert to fraction form
    9,200.16/13,791.24 = 3,651.66/x
  3. Step 3: Cross multiply
    9,200.16x = 13,791.24 × 3,651.66
  4. Step 4: Simplify right side
    9,200.16x = 50,360,919.46
  5. Step 5: Solve for x
    x = 50,360,919.46/9,200.16
  6. Step 6: Final answer
    x = 5,473.92

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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.