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Finding the Fourth Proportional to 6,704.82, 9,252.54 and 3,872.16

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Solution

The fourth proportional to 6,704.82, 9,252.54 and 3,872.16 is: 5,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.82 : 9,252.54 = 3,872.16 : x
  2. Step 2: Convert to fraction form
    6,704.82/9,252.54 = 3,872.16/x
  3. Step 3: Cross multiply
    6,704.82x = 9,252.54 × 3,872.16
  4. Step 4: Simplify right side
    6,704.82x = 35,827,315.29
  5. Step 5: Solve for x
    x = 35,827,315.29/6,704.82
  6. Step 6: Final answer
    x = 5,343.52

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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.