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Finding the Fourth Proportional to 9,723.72, 14,589.72 and 3,151.80

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Solution

The fourth proportional to 9,723.72, 14,589.72 and 3,151.80 is: 4,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.72 : 14,589.72 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    9,723.72/14,589.72 = 3,151.80/x
  3. Step 3: Cross multiply
    9,723.72x = 14,589.72 × 3,151.80
  4. Step 4: Simplify right side
    9,723.72x = 45,983,879.50
  5. Step 5: Solve for x
    x = 45,983,879.50/9,723.72
  6. Step 6: Final answer
    x = 4,729.04

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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.