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Finding the Fourth Proportional to 6,742.26, 9,304.53 and 3,758.02

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Solution

The fourth proportional to 6,742.26, 9,304.53 and 3,758.02 is: 5,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.26 : 9,304.53 = 3,758.02 : x
  2. Step 2: Convert to fraction form
    6,742.26/9,304.53 = 3,758.02/x
  3. Step 3: Cross multiply
    6,742.26x = 9,304.53 × 3,758.02
  4. Step 4: Simplify right side
    6,742.26x = 34,966,609.83
  5. Step 5: Solve for x
    x = 34,966,609.83/6,742.26
  6. Step 6: Final answer
    x = 5,186.19

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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.