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Finding the Fourth Proportional to 6,819.49, 9,408.86 and 4,164.11

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Solution

The fourth proportional to 6,819.49, 9,408.86 and 4,164.11 is: 5,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.49 : 9,408.86 = 4,164.11 : x
  2. Step 2: Convert to fraction form
    6,819.49/9,408.86 = 4,164.11/x
  3. Step 3: Cross multiply
    6,819.49x = 9,408.86 × 4,164.11
  4. Step 4: Simplify right side
    6,819.49x = 39,179,507.19
  5. Step 5: Solve for x
    x = 39,179,507.19/6,819.49
  6. Step 6: Final answer
    x = 5,745.23

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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.