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Finding the Fourth Proportional to 6,645.70, 9,949.20 and 5,180.38

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Solution

The fourth proportional to 6,645.70, 9,949.20 and 5,180.38 is: 7,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.70 : 9,949.20 = 5,180.38 : x
  2. Step 2: Convert to fraction form
    6,645.70/9,949.20 = 5,180.38/x
  3. Step 3: Cross multiply
    6,645.70x = 9,949.20 × 5,180.38
  4. Step 4: Simplify right side
    6,645.70x = 51,540,636.70
  5. Step 5: Solve for x
    x = 51,540,636.70/6,645.70
  6. Step 6: Final answer
    x = 7,755.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.