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Finding the Fourth Proportional to 6,773.36, 9,348.32 and 3,978.84

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Solution

The fourth proportional to 6,773.36, 9,348.32 and 3,978.84 is: 5,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.36 : 9,348.32 = 3,978.84 : x
  2. Step 2: Convert to fraction form
    6,773.36/9,348.32 = 3,978.84/x
  3. Step 3: Cross multiply
    6,773.36x = 9,348.32 × 3,978.84
  4. Step 4: Simplify right side
    6,773.36x = 37,195,469.55
  5. Step 5: Solve for x
    x = 37,195,469.55/6,773.36
  6. Step 6: Final answer
    x = 5,491.44

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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.