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Finding the Fourth Proportional to 9,611.96, 14,422.55 and 5,229.41

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Solution

The fourth proportional to 9,611.96, 14,422.55 and 5,229.41 is: 7,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.96 : 14,422.55 = 5,229.41 : x
  2. Step 2: Convert to fraction form
    9,611.96/14,422.55 = 5,229.41/x
  3. Step 3: Cross multiply
    9,611.96x = 14,422.55 × 5,229.41
  4. Step 4: Simplify right side
    9,611.96x = 75,421,414.12
  5. Step 5: Solve for x
    x = 75,421,414.12/9,611.96
  6. Step 6: Final answer
    x = 7,846.62

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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.