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Finding the Fourth Proportional to 6,774.30, 9,348.24 and 3,789.57

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Solution

The fourth proportional to 6,774.30, 9,348.24 and 3,789.57 is: 5,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.30 : 9,348.24 = 3,789.57 : x
  2. Step 2: Convert to fraction form
    6,774.30/9,348.24 = 3,789.57/x
  3. Step 3: Cross multiply
    6,774.30x = 9,348.24 × 3,789.57
  4. Step 4: Simplify right side
    6,774.30x = 35,425,809.86
  5. Step 5: Solve for x
    x = 35,425,809.86/6,774.30
  6. Step 6: Final answer
    x = 5,229.44

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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.