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Finding the Fourth Proportional to 6,742.33, 9,304.70 and 3,758.16

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Solution

The fourth proportional to 6,742.33, 9,304.70 and 3,758.16 is: 5,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.33 : 9,304.70 = 3,758.16 : x
  2. Step 2: Convert to fraction form
    6,742.33/9,304.70 = 3,758.16/x
  3. Step 3: Cross multiply
    6,742.33x = 9,304.70 × 3,758.16
  4. Step 4: Simplify right side
    6,742.33x = 34,968,560.75
  5. Step 5: Solve for x
    x = 34,968,560.75/6,742.33
  6. Step 6: Final answer
    x = 5,186.42

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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.