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Finding the Fourth Proportional to 9,499.75, 14,249.63 and 2,574.25

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Solution

The fourth proportional to 9,499.75, 14,249.63 and 2,574.25 is: 3,861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.75 : 14,249.63 = 2,574.25 : x
  2. Step 2: Convert to fraction form
    9,499.75/14,249.63 = 2,574.25/x
  3. Step 3: Cross multiply
    9,499.75x = 14,249.63 × 2,574.25
  4. Step 4: Simplify right side
    9,499.75x = 36,682,110.03
  5. Step 5: Solve for x
    x = 36,682,110.03/9,499.75
  6. Step 6: Final answer
    x = 3,861.38

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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.