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Finding the Fourth Proportional to 6,448.14, 9,672.48 and 3,163.86

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Solution

The fourth proportional to 6,448.14, 9,672.48 and 3,163.86 is: 4,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.14 : 9,672.48 = 3,163.86 : x
  2. Step 2: Convert to fraction form
    6,448.14/9,672.48 = 3,163.86/x
  3. Step 3: Cross multiply
    6,448.14x = 9,672.48 × 3,163.86
  4. Step 4: Simplify right side
    6,448.14x = 30,602,372.57
  5. Step 5: Solve for x
    x = 30,602,372.57/6,448.14
  6. Step 6: Final answer
    x = 4,745.92

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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.