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Finding the Fourth Proportional to 7,146.12, 9,861.84 and 4,002.24

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Solution

The fourth proportional to 7,146.12, 9,861.84 and 4,002.24 is: 5,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.12 : 9,861.84 = 4,002.24 : x
  2. Step 2: Convert to fraction form
    7,146.12/9,861.84 = 4,002.24/x
  3. Step 3: Cross multiply
    7,146.12x = 9,861.84 × 4,002.24
  4. Step 4: Simplify right side
    7,146.12x = 39,469,450.52
  5. Step 5: Solve for x
    x = 39,469,450.52/7,146.12
  6. Step 6: Final answer
    x = 5,523.20

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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.