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Finding the Fourth Proportional to 6,743.36, 9,304.96 and 3,758.40

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Solution

The fourth proportional to 6,743.36, 9,304.96 and 3,758.40 is: 5,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.36 : 9,304.96 = 3,758.40 : x
  2. Step 2: Convert to fraction form
    6,743.36/9,304.96 = 3,758.40/x
  3. Step 3: Cross multiply
    6,743.36x = 9,304.96 × 3,758.40
  4. Step 4: Simplify right side
    6,743.36x = 34,971,761.66
  5. Step 5: Solve for x
    x = 34,971,761.66/6,743.36
  6. Step 6: Final answer
    x = 5,186.10

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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.