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Finding the Fourth Proportional to 7,198.47, 9,936.68 and 5,627.07

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Solution

The fourth proportional to 7,198.47, 9,936.68 and 5,627.07 is: 7,767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.47 : 9,936.68 = 5,627.07 : x
  2. Step 2: Convert to fraction form
    7,198.47/9,936.68 = 5,627.07/x
  3. Step 3: Cross multiply
    7,198.47x = 9,936.68 × 5,627.07
  4. Step 4: Simplify right side
    7,198.47x = 55,914,365.79
  5. Step 5: Solve for x
    x = 55,914,365.79/7,198.47
  6. Step 6: Final answer
    x = 7,767.53

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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.