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Finding the Fourth Proportional to 9,082.33, 12,534.14 and 5,049.24

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Solution

The fourth proportional to 9,082.33, 12,534.14 and 5,049.24 is: 6,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.33 : 12,534.14 = 5,049.24 : x
  2. Step 2: Convert to fraction form
    9,082.33/12,534.14 = 5,049.24/x
  3. Step 3: Cross multiply
    9,082.33x = 12,534.14 × 5,049.24
  4. Step 4: Simplify right side
    9,082.33x = 63,287,846.67
  5. Step 5: Solve for x
    x = 63,287,846.67/9,082.33
  6. Step 6: Final answer
    x = 6,968.24

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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.