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Finding the Fourth Proportional to 6,704.37, 9,253.38 and 3,872.21

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Solution

The fourth proportional to 6,704.37, 9,253.38 and 3,872.21 is: 5,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.37 : 9,253.38 = 3,872.21 : x
  2. Step 2: Convert to fraction form
    6,704.37/9,253.38 = 3,872.21/x
  3. Step 3: Cross multiply
    6,704.37x = 9,253.38 × 3,872.21
  4. Step 4: Simplify right side
    6,704.37x = 35,831,030.57
  5. Step 5: Solve for x
    x = 35,831,030.57/6,704.37
  6. Step 6: Final answer
    x = 5,344.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.