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Finding the Fourth Proportional to 9,093.24, 13,613.82 and 6,166.32

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Solution

The fourth proportional to 9,093.24, 13,613.82 and 6,166.32 is: 9,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.24 : 13,613.82 = 6,166.32 : x
  2. Step 2: Convert to fraction form
    9,093.24/13,613.82 = 6,166.32/x
  3. Step 3: Cross multiply
    9,093.24x = 13,613.82 × 6,166.32
  4. Step 4: Simplify right side
    9,093.24x = 83,947,170.54
  5. Step 5: Solve for x
    x = 83,947,170.54/9,093.24
  6. Step 6: Final answer
    x = 9,231.82

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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.