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Finding the Fourth Proportional to 9,082.84, 13,624.26 and 2,509.03

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Solution

The fourth proportional to 9,082.84, 13,624.26 and 2,509.03 is: 3,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.84 : 13,624.26 = 2,509.03 : x
  2. Step 2: Convert to fraction form
    9,082.84/13,624.26 = 2,509.03/x
  3. Step 3: Cross multiply
    9,082.84x = 13,624.26 × 2,509.03
  4. Step 4: Simplify right side
    9,082.84x = 34,183,660.48
  5. Step 5: Solve for x
    x = 34,183,660.48/9,082.84
  6. Step 6: Final answer
    x = 3,763.54

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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.