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Finding the Fourth Proportional to 13,195.78, 18,209.41 and 7,227.57

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Solution

The fourth proportional to 13,195.78, 18,209.41 and 7,227.57 is: 9,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.78 : 18,209.41 = 7,227.57 : x
  2. Step 2: Convert to fraction form
    13,195.78/18,209.41 = 7,227.57/x
  3. Step 3: Cross multiply
    13,195.78x = 18,209.41 × 7,227.57
  4. Step 4: Simplify right side
    13,195.78x = 131,609,785.43
  5. Step 5: Solve for x
    x = 131,609,785.43/13,195.78
  6. Step 6: Final answer
    x = 9,973.63

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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.