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Finding the Fourth Proportional to 9,640.68, 14,441.91 and 7,550.94

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Solution

The fourth proportional to 9,640.68, 14,441.91 and 7,550.94 is: 11,311.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.68 : 14,441.91 = 7,550.94 : x
  2. Step 2: Convert to fraction form
    9,640.68/14,441.91 = 7,550.94/x
  3. Step 3: Cross multiply
    9,640.68x = 14,441.91 × 7,550.94
  4. Step 4: Simplify right side
    9,640.68x = 109,049,995.90
  5. Step 5: Solve for x
    x = 109,049,995.90/9,640.68
  6. Step 6: Final answer
    x = 11,311.44

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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.