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Finding the Fourth Proportional to 6,801.82, 9,385.80 and 3,817.99

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Solution

The fourth proportional to 6,801.82, 9,385.80 and 3,817.99 is: 5,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.82 : 9,385.80 = 3,817.99 : x
  2. Step 2: Convert to fraction form
    6,801.82/9,385.80 = 3,817.99/x
  3. Step 3: Cross multiply
    6,801.82x = 9,385.80 × 3,817.99
  4. Step 4: Simplify right side
    6,801.82x = 35,834,845.90
  5. Step 5: Solve for x
    x = 35,834,845.90/6,801.82
  6. Step 6: Final answer
    x = 5,268.42

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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.