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Finding the Fourth Proportional to 6,199.91, 9,299.67 and 1,519.93

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Solution

The fourth proportional to 6,199.91, 9,299.67 and 1,519.93 is: 2,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.91 : 9,299.67 = 1,519.93 : x
  2. Step 2: Convert to fraction form
    6,199.91/9,299.67 = 1,519.93/x
  3. Step 3: Cross multiply
    6,199.91x = 9,299.67 × 1,519.93
  4. Step 4: Simplify right side
    6,199.91x = 14,134,859.05
  5. Step 5: Solve for x
    x = 14,134,859.05/6,199.91
  6. Step 6: Final answer
    x = 2,279.85

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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.