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Finding the Fourth Proportional to 9,387.38, 12,954.60 and 5,195.63

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Solution

The fourth proportional to 9,387.38, 12,954.60 and 5,195.63 is: 7,169.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.38 : 12,954.60 = 5,195.63 : x
  2. Step 2: Convert to fraction form
    9,387.38/12,954.60 = 5,195.63/x
  3. Step 3: Cross multiply
    9,387.38x = 12,954.60 × 5,195.63
  4. Step 4: Simplify right side
    9,387.38x = 67,307,340.78
  5. Step 5: Solve for x
    x = 67,307,340.78/9,387.38
  6. Step 6: Final answer
    x = 7,169.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.