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Finding the Fourth Proportional to 6,743.10, 9,305.00 and 3,759.10

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Solution

The fourth proportional to 6,743.10, 9,305.00 and 3,759.10 is: 5,187.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.10 : 9,305.00 = 3,759.10 : x
  2. Step 2: Convert to fraction form
    6,743.10/9,305.00 = 3,759.10/x
  3. Step 3: Cross multiply
    6,743.10x = 9,305.00 × 3,759.10
  4. Step 4: Simplify right side
    6,743.10x = 34,978,395.03
  5. Step 5: Solve for x
    x = 34,978,395.03/6,743.10
  6. Step 6: Final answer
    x = 5,187.29

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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.