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Finding the Fourth Proportional to 7,146.25, 9,861.83 and 4,002.44

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Solution

The fourth proportional to 7,146.25, 9,861.83 and 4,002.44 is: 5,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.25 : 9,861.83 = 4,002.44 : x
  2. Step 2: Convert to fraction form
    7,146.25/9,861.83 = 4,002.44/x
  3. Step 3: Cross multiply
    7,146.25x = 9,861.83 × 4,002.44
  4. Step 4: Simplify right side
    7,146.25x = 39,471,382.87
  5. Step 5: Solve for x
    x = 39,471,382.87/7,146.25
  6. Step 6: Final answer
    x = 5,523.37

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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.