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Finding the Fourth Proportional to 6,704.33, 9,253.33 and 3,872.17

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Solution

The fourth proportional to 6,704.33, 9,253.33 and 3,872.17 is: 5,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.33 : 9,253.33 = 3,872.17 : x
  2. Step 2: Convert to fraction form
    6,704.33/9,253.33 = 3,872.17/x
  3. Step 3: Cross multiply
    6,704.33x = 9,253.33 × 3,872.17
  4. Step 4: Simplify right side
    6,704.33x = 35,830,424.33
  5. Step 5: Solve for x
    x = 35,830,424.33/6,704.33
  6. Step 6: Final answer
    x = 5,344.37

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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.