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Finding the Fourth Proportional to 9,542.26, 13,162.26 and 6,893.56

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Solution

The fourth proportional to 9,542.26, 13,162.26 and 6,893.56 is: 9,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.26 : 13,162.26 = 6,893.56 : x
  2. Step 2: Convert to fraction form
    9,542.26/13,162.26 = 6,893.56/x
  3. Step 3: Cross multiply
    9,542.26x = 13,162.26 × 6,893.56
  4. Step 4: Simplify right side
    9,542.26x = 90,734,829.05
  5. Step 5: Solve for x
    x = 90,734,829.05/9,542.26
  6. Step 6: Final answer
    x = 9,508.74

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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.