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Finding the Fourth Proportional to 6,922.76, 9,553.26 and 3,779

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Solution

The fourth proportional to 6,922.76, 9,553.26 and 3,779 is: 5,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.76 : 9,553.26 = 3,779 : x
  2. Step 2: Convert to fraction form
    6,922.76/9,553.26 = 3,779/x
  3. Step 3: Cross multiply
    6,922.76x = 9,553.26 × 3,779
  4. Step 4: Simplify right side
    6,922.76x = 36,101,769.54
  5. Step 5: Solve for x
    x = 36,101,769.54/6,922.76
  6. Step 6: Final answer
    x = 5,214.94

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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.