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Finding the Fourth Proportional to 9,082.05, 12,538.82 and 7,201.23

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Solution

The fourth proportional to 9,082.05, 12,538.82 and 7,201.23 is: 9,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.05 : 12,538.82 = 7,201.23 : x
  2. Step 2: Convert to fraction form
    9,082.05/12,538.82 = 7,201.23/x
  3. Step 3: Cross multiply
    9,082.05x = 12,538.82 × 7,201.23
  4. Step 4: Simplify right side
    9,082.05x = 90,294,828.05
  5. Step 5: Solve for x
    x = 90,294,828.05/9,082.05
  6. Step 6: Final answer
    x = 9,942.13

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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.