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Finding the Fourth Proportional to 6,742.98, 9,305.26 and 3,758.62

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Solution

The fourth proportional to 6,742.98, 9,305.26 and 3,758.62 is: 5,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.98 : 9,305.26 = 3,758.62 : x
  2. Step 2: Convert to fraction form
    6,742.98/9,305.26 = 3,758.62/x
  3. Step 3: Cross multiply
    6,742.98x = 9,305.26 × 3,758.62
  4. Step 4: Simplify right side
    6,742.98x = 34,974,936.34
  5. Step 5: Solve for x
    x = 34,974,936.34/6,742.98
  6. Step 6: Final answer
    x = 5,186.87

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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.