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Finding the Fourth Proportional to 6,801.40, 9,385.94 and 3,817.23

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Solution

The fourth proportional to 6,801.40, 9,385.94 and 3,817.23 is: 5,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.40 : 9,385.94 = 3,817.23 : x
  2. Step 2: Convert to fraction form
    6,801.40/9,385.94 = 3,817.23/x
  3. Step 3: Cross multiply
    6,801.40x = 9,385.94 × 3,817.23
  4. Step 4: Simplify right side
    6,801.40x = 35,828,291.75
  5. Step 5: Solve for x
    x = 35,828,291.75/6,801.40
  6. Step 6: Final answer
    x = 5,267.78

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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.