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Finding the Fourth Proportional to 9,803.20, 14,704.80 and 3,956.80

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Solution

The fourth proportional to 9,803.20, 14,704.80 and 3,956.80 is: 5,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.20 : 14,704.80 = 3,956.80 : x
  2. Step 2: Convert to fraction form
    9,803.20/14,704.80 = 3,956.80/x
  3. Step 3: Cross multiply
    9,803.20x = 14,704.80 × 3,956.80
  4. Step 4: Simplify right side
    9,803.20x = 58,183,952.64
  5. Step 5: Solve for x
    x = 58,183,952.64/9,803.20
  6. Step 6: Final answer
    x = 5,935.20

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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.