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Finding the Fourth Proportional to 9,742.26, 13,452.95 and 6,163.78

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Solution

The fourth proportional to 9,742.26, 13,452.95 and 6,163.78 is: 8,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.26 : 13,452.95 = 6,163.78 : x
  2. Step 2: Convert to fraction form
    9,742.26/13,452.95 = 6,163.78/x
  3. Step 3: Cross multiply
    9,742.26x = 13,452.95 × 6,163.78
  4. Step 4: Simplify right side
    9,742.26x = 82,921,024.15
  5. Step 5: Solve for x
    x = 82,921,024.15/9,742.26
  6. Step 6: Final answer
    x = 8,511.48

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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.