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Finding the Fourth Proportional to 6,743.19, 9,305.10 and 3,759.15

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Solution

The fourth proportional to 6,743.19, 9,305.10 and 3,759.15 is: 5,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.19 : 9,305.10 = 3,759.15 : x
  2. Step 2: Convert to fraction form
    6,743.19/9,305.10 = 3,759.15/x
  3. Step 3: Cross multiply
    6,743.19x = 9,305.10 × 3,759.15
  4. Step 4: Simplify right side
    6,743.19x = 34,979,266.67
  5. Step 5: Solve for x
    x = 34,979,266.67/6,743.19
  6. Step 6: Final answer
    x = 5,187.35

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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.