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Finding the Fourth Proportional to 9,797.80, 14,699.23 and 4,249.88

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Solution

The fourth proportional to 9,797.80, 14,699.23 and 4,249.88 is: 6,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.80 : 14,699.23 = 4,249.88 : x
  2. Step 2: Convert to fraction form
    9,797.80/14,699.23 = 4,249.88/x
  3. Step 3: Cross multiply
    9,797.80x = 14,699.23 × 4,249.88
  4. Step 4: Simplify right side
    9,797.80x = 62,469,900.72
  5. Step 5: Solve for x
    x = 62,469,900.72/9,797.80
  6. Step 6: Final answer
    x = 6,375.91

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