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Finding the Fourth Proportional to 6,801.13, 9,385.72 and 3,817.19

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Solution

The fourth proportional to 6,801.13, 9,385.72 and 3,817.19 is: 5,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.13 : 9,385.72 = 3,817.19 : x
  2. Step 2: Convert to fraction form
    6,801.13/9,385.72 = 3,817.19/x
  3. Step 3: Cross multiply
    6,801.13x = 9,385.72 × 3,817.19
  4. Step 4: Simplify right side
    6,801.13x = 35,827,076.53
  5. Step 5: Solve for x
    x = 35,827,076.53/6,801.13
  6. Step 6: Final answer
    x = 5,267.81

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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.