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Finding the Fourth Proportional to 6,620.44, 9,140.49 and 4,105.23

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Solution

The fourth proportional to 6,620.44, 9,140.49 and 4,105.23 is: 5,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,620.44 : 9,140.49 = 4,105.23 : x
  2. Step 2: Convert to fraction form
    6,620.44/9,140.49 = 4,105.23/x
  3. Step 3: Cross multiply
    6,620.44x = 9,140.49 × 4,105.23
  4. Step 4: Simplify right side
    6,620.44x = 37,523,813.76
  5. Step 5: Solve for x
    x = 37,523,813.76/6,620.44
  6. Step 6: Final answer
    x = 5,667.87

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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.