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Finding the Fourth Proportional to 9,185.26, 12,675.92 and 4,993.78

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Solution

The fourth proportional to 9,185.26, 12,675.92 and 4,993.78 is: 6,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.26 : 12,675.92 = 4,993.78 : x
  2. Step 2: Convert to fraction form
    9,185.26/12,675.92 = 4,993.78/x
  3. Step 3: Cross multiply
    9,185.26x = 12,675.92 × 4,993.78
  4. Step 4: Simplify right side
    9,185.26x = 63,300,755.78
  5. Step 5: Solve for x
    x = 63,300,755.78/9,185.26
  6. Step 6: Final answer
    x = 6,891.56

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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.