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Finding the Fourth Proportional to 7,147.10, 9,863.61 and 4,163.21

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Solution

The fourth proportional to 7,147.10, 9,863.61 and 4,163.21 is: 5,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.10 : 9,863.61 = 4,163.21 : x
  2. Step 2: Convert to fraction form
    7,147.10/9,863.61 = 4,163.21/x
  3. Step 3: Cross multiply
    7,147.10x = 9,863.61 × 4,163.21
  4. Step 4: Simplify right side
    7,147.10x = 41,064,279.79
  5. Step 5: Solve for x
    x = 41,064,279.79/7,147.10
  6. Step 6: Final answer
    x = 5,745.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.