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Finding the Fourth Proportional to 9,419.38, 12,998.49 and 5,170.44

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Solution

The fourth proportional to 9,419.38, 12,998.49 and 5,170.44 is: 7,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.38 : 12,998.49 = 5,170.44 : x
  2. Step 2: Convert to fraction form
    9,419.38/12,998.49 = 5,170.44/x
  3. Step 3: Cross multiply
    9,419.38x = 12,998.49 × 5,170.44
  4. Step 4: Simplify right side
    9,419.38x = 67,207,912.64
  5. Step 5: Solve for x
    x = 67,207,912.64/9,419.38
  6. Step 6: Final answer
    x = 7,135.07

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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.