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Finding the Fourth Proportional to 9,589.98, 13,234.26 and 5,611.18

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Solution

The fourth proportional to 9,589.98, 13,234.26 and 5,611.18 is: 7,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.98 : 13,234.26 = 5,611.18 : x
  2. Step 2: Convert to fraction form
    9,589.98/13,234.26 = 5,611.18/x
  3. Step 3: Cross multiply
    9,589.98x = 13,234.26 × 5,611.18
  4. Step 4: Simplify right side
    9,589.98x = 74,259,815.03
  5. Step 5: Solve for x
    x = 74,259,815.03/9,589.98
  6. Step 6: Final answer
    x = 7,743.48

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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.