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Finding the Fourth Proportional to 9,499.92, 14,249.87 and 2,574.42

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Solution

The fourth proportional to 9,499.92, 14,249.87 and 2,574.42 is: 3,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.92 : 14,249.87 = 2,574.42 : x
  2. Step 2: Convert to fraction form
    9,499.92/14,249.87 = 2,574.42/x
  3. Step 3: Cross multiply
    9,499.92x = 14,249.87 × 2,574.42
  4. Step 4: Simplify right side
    9,499.92x = 36,685,150.33
  5. Step 5: Solve for x
    x = 36,685,150.33/9,499.92
  6. Step 6: Final answer
    x = 3,861.63

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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.