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Finding the Fourth Proportional to 6,743.58, 9,305.43 and 3,758.85

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Solution

The fourth proportional to 6,743.58, 9,305.43 and 3,758.85 is: 5,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.58 : 9,305.43 = 3,758.85 : x
  2. Step 2: Convert to fraction form
    6,743.58/9,305.43 = 3,758.85/x
  3. Step 3: Cross multiply
    6,743.58x = 9,305.43 × 3,758.85
  4. Step 4: Simplify right side
    6,743.58x = 34,977,715.56
  5. Step 5: Solve for x
    x = 34,977,715.56/6,743.58
  6. Step 6: Final answer
    x = 5,186.82

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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.