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Finding the Fourth Proportional to 9,651.61, 14,449.24 and 5,942.71

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Solution

The fourth proportional to 9,651.61, 14,449.24 and 5,942.71 is: 8,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.61 : 14,449.24 = 5,942.71 : x
  2. Step 2: Convert to fraction form
    9,651.61/14,449.24 = 5,942.71/x
  3. Step 3: Cross multiply
    9,651.61x = 14,449.24 × 5,942.71
  4. Step 4: Simplify right side
    9,651.61x = 85,867,555.94
  5. Step 5: Solve for x
    x = 85,867,555.94/9,651.61
  6. Step 6: Final answer
    x = 8,896.71

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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.