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Finding the Fourth Proportional to 6,742.72, 9,304.62 and 3,758.80

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Solution

The fourth proportional to 6,742.72, 9,304.62 and 3,758.80 is: 5,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.72 : 9,304.62 = 3,758.80 : x
  2. Step 2: Convert to fraction form
    6,742.72/9,304.62 = 3,758.80/x
  3. Step 3: Cross multiply
    6,742.72x = 9,304.62 × 3,758.80
  4. Step 4: Simplify right side
    6,742.72x = 34,974,205.66
  5. Step 5: Solve for x
    x = 34,974,205.66/6,742.72
  6. Step 6: Final answer
    x = 5,186.96

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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.