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Finding the Fourth Proportional to 6,743.84, 9,305.82 and 4,091.09

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Solution

The fourth proportional to 6,743.84, 9,305.82 and 4,091.09 is: 5,645.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.84 : 9,305.82 = 4,091.09 : x
  2. Step 2: Convert to fraction form
    6,743.84/9,305.82 = 4,091.09/x
  3. Step 3: Cross multiply
    6,743.84x = 9,305.82 × 4,091.09
  4. Step 4: Simplify right side
    6,743.84x = 38,070,900.61
  5. Step 5: Solve for x
    x = 38,070,900.61/6,743.84
  6. Step 6: Final answer
    x = 5,645.29

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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.