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Finding the Fourth Proportional to 9,499.97, 14,249.96 and 2,574.47

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Solution

The fourth proportional to 9,499.97, 14,249.96 and 2,574.47 is: 3,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.97 : 14,249.96 = 2,574.47 : x
  2. Step 2: Convert to fraction form
    9,499.97/14,249.96 = 2,574.47/x
  3. Step 3: Cross multiply
    9,499.97x = 14,249.96 × 2,574.47
  4. Step 4: Simplify right side
    9,499.97x = 36,686,117.27
  5. Step 5: Solve for x
    x = 36,686,117.27/9,499.97
  6. Step 6: Final answer
    x = 3,861.71

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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.