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Finding the Fourth Proportional to 6,151.20, 9,278.24 and 5,791.84

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Solution

The fourth proportional to 6,151.20, 9,278.24 and 5,791.84 is: 8,736.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.20 : 9,278.24 = 5,791.84 : x
  2. Step 2: Convert to fraction form
    6,151.20/9,278.24 = 5,791.84/x
  3. Step 3: Cross multiply
    6,151.20x = 9,278.24 × 5,791.84
  4. Step 4: Simplify right side
    6,151.20x = 53,738,081.56
  5. Step 5: Solve for x
    x = 53,738,081.56/6,151.20
  6. Step 6: Final answer
    x = 8,736.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.