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Finding the Fourth Proportional to 6,193.72, 8,546.96 and 3,676.06

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Solution

The fourth proportional to 6,193.72, 8,546.96 and 3,676.06 is: 5,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.72 : 8,546.96 = 3,676.06 : x
  2. Step 2: Convert to fraction form
    6,193.72/8,546.96 = 3,676.06/x
  3. Step 3: Cross multiply
    6,193.72x = 8,546.96 × 3,676.06
  4. Step 4: Simplify right side
    6,193.72x = 31,419,137.78
  5. Step 5: Solve for x
    x = 31,419,137.78/6,193.72
  6. Step 6: Final answer
    x = 5,072.74

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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.