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Finding the Fourth Proportional to 6,338.49, 8,744.20 and 4,101.09

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Solution

The fourth proportional to 6,338.49, 8,744.20 and 4,101.09 is: 5,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.49 : 8,744.20 = 4,101.09 : x
  2. Step 2: Convert to fraction form
    6,338.49/8,744.20 = 4,101.09/x
  3. Step 3: Cross multiply
    6,338.49x = 8,744.20 × 4,101.09
  4. Step 4: Simplify right side
    6,338.49x = 35,860,780.39
  5. Step 5: Solve for x
    x = 35,860,780.39/6,338.49
  6. Step 6: Final answer
    x = 5,657.63

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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.