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Finding the Fourth Proportional to 9,832.32, 14,757.84 and 7,227.36

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Solution

The fourth proportional to 9,832.32, 14,757.84 and 7,227.36 is: 10,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.32 : 14,757.84 = 7,227.36 : x
  2. Step 2: Convert to fraction form
    9,832.32/14,757.84 = 7,227.36/x
  3. Step 3: Cross multiply
    9,832.32x = 14,757.84 × 7,227.36
  4. Step 4: Simplify right side
    9,832.32x = 106,660,222.50
  5. Step 5: Solve for x
    x = 106,660,222.50/9,832.32
  6. Step 6: Final answer
    x = 10,847.92

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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.