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Finding the Fourth Proportional to 9,747.99, 14,620.46 and 3,174.12

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Solution

The fourth proportional to 9,747.99, 14,620.46 and 3,174.12 is: 4,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.99 : 14,620.46 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    9,747.99/14,620.46 = 3,174.12/x
  3. Step 3: Cross multiply
    9,747.99x = 14,620.46 × 3,174.12
  4. Step 4: Simplify right side
    9,747.99x = 46,407,078.62
  5. Step 5: Solve for x
    x = 46,407,078.62/9,747.99
  6. Step 6: Final answer
    x = 4,760.68

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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.