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Finding the Fourth Proportional to 9,323.72, 13,982.60 and 3,082.57

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Solution

The fourth proportional to 9,323.72, 13,982.60 and 3,082.57 is: 4,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.72 : 13,982.60 = 3,082.57 : x
  2. Step 2: Convert to fraction form
    9,323.72/13,982.60 = 3,082.57/x
  3. Step 3: Cross multiply
    9,323.72x = 13,982.60 × 3,082.57
  4. Step 4: Simplify right side
    9,323.72x = 43,102,343.28
  5. Step 5: Solve for x
    x = 43,102,343.28/9,323.72
  6. Step 6: Final answer
    x = 4,622.87

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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.