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Finding the Fourth Proportional to 9,747.92, 14,620.50 and 3,174.20

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Solution

The fourth proportional to 9,747.92, 14,620.50 and 3,174.20 is: 4,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.92 : 14,620.50 = 3,174.20 : x
  2. Step 2: Convert to fraction form
    9,747.92/14,620.50 = 3,174.20/x
  3. Step 3: Cross multiply
    9,747.92x = 14,620.50 × 3,174.20
  4. Step 4: Simplify right side
    9,747.92x = 46,408,391.10
  5. Step 5: Solve for x
    x = 46,408,391.10/9,747.92
  6. Step 6: Final answer
    x = 4,760.85

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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.