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Finding the Fourth Proportional to 9,614.75, 13,268.36 and 5,198.75

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Solution

The fourth proportional to 9,614.75, 13,268.36 and 5,198.75 is: 7,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.75 : 13,268.36 = 5,198.75 : x
  2. Step 2: Convert to fraction form
    9,614.75/13,268.36 = 5,198.75/x
  3. Step 3: Cross multiply
    9,614.75x = 13,268.36 × 5,198.75
  4. Step 4: Simplify right side
    9,614.75x = 68,978,860.56
  5. Step 5: Solve for x
    x = 68,978,860.56/9,614.75
  6. Step 6: Final answer
    x = 7,174.28

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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.