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Finding the Fourth Proportional to 9,204, 13,807.92 and 3,732

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Solution

The fourth proportional to 9,204, 13,807.92 and 3,732 is: 5,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204 : 13,807.92 = 3,732 : x
  2. Step 2: Convert to fraction form
    9,204/13,807.92 = 3,732/x
  3. Step 3: Cross multiply
    9,204x = 13,807.92 × 3,732
  4. Step 4: Simplify right side
    9,204x = 51,531,157.44
  5. Step 5: Solve for x
    x = 51,531,157.44/9,204
  6. Step 6: Final answer
    x = 5,598.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.