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Finding the Fourth Proportional to 6,142.70, 9,204.17 and 3,676.35

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Solution

The fourth proportional to 6,142.70, 9,204.17 and 3,676.35 is: 5,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.70 : 9,204.17 = 3,676.35 : x
  2. Step 2: Convert to fraction form
    6,142.70/9,204.17 = 3,676.35/x
  3. Step 3: Cross multiply
    6,142.70x = 9,204.17 × 3,676.35
  4. Step 4: Simplify right side
    6,142.70x = 33,837,750.38
  5. Step 5: Solve for x
    x = 33,837,750.38/6,142.70
  6. Step 6: Final answer
    x = 5,508.61

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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.