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Finding the Fourth Proportional to 9,082.97, 13,623.42 and 2,510.09

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Solution

The fourth proportional to 9,082.97, 13,623.42 and 2,510.09 is: 3,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.97 : 13,623.42 = 2,510.09 : x
  2. Step 2: Convert to fraction form
    9,082.97/13,623.42 = 2,510.09/x
  3. Step 3: Cross multiply
    9,082.97x = 13,623.42 × 2,510.09
  4. Step 4: Simplify right side
    9,082.97x = 34,195,942.19
  5. Step 5: Solve for x
    x = 34,195,942.19/9,082.97
  6. Step 6: Final answer
    x = 3,764.84

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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.