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Finding the Fourth Proportional to 6,676.66, 9,213.35 and 3,843.38

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Solution

The fourth proportional to 6,676.66, 9,213.35 and 3,843.38 is: 5,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.66 : 9,213.35 = 3,843.38 : x
  2. Step 2: Convert to fraction form
    6,676.66/9,213.35 = 3,843.38/x
  3. Step 3: Cross multiply
    6,676.66x = 9,213.35 × 3,843.38
  4. Step 4: Simplify right side
    6,676.66x = 35,410,408.94
  5. Step 5: Solve for x
    x = 35,410,408.94/6,676.66
  6. Step 6: Final answer
    x = 5,303.61

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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.