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Finding the Fourth Proportional to 9,238.68, 13,857.66 and 3,082.68

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Solution

The fourth proportional to 9,238.68, 13,857.66 and 3,082.68 is: 4,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.68 : 13,857.66 = 3,082.68 : x
  2. Step 2: Convert to fraction form
    9,238.68/13,857.66 = 3,082.68/x
  3. Step 3: Cross multiply
    9,238.68x = 13,857.66 × 3,082.68
  4. Step 4: Simplify right side
    9,238.68x = 42,718,731.33
  5. Step 5: Solve for x
    x = 42,718,731.33/9,238.68
  6. Step 6: Final answer
    x = 4,623.90

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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.