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Finding the Fourth Proportional to 7,184.25, 9,914.09 and 3,997.56

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Solution

The fourth proportional to 7,184.25, 9,914.09 and 3,997.56 is: 5,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.25 : 9,914.09 = 3,997.56 : x
  2. Step 2: Convert to fraction form
    7,184.25/9,914.09 = 3,997.56/x
  3. Step 3: Cross multiply
    7,184.25x = 9,914.09 × 3,997.56
  4. Step 4: Simplify right side
    7,184.25x = 39,632,149.63
  5. Step 5: Solve for x
    x = 39,632,149.63/7,184.25
  6. Step 6: Final answer
    x = 5,516.53

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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.