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Finding the Fourth Proportional to 9,082.26, 12,538.26 and 6,113.75

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Solution

The fourth proportional to 9,082.26, 12,538.26 and 6,113.75 is: 8,440.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.26 : 12,538.26 = 6,113.75 : x
  2. Step 2: Convert to fraction form
    9,082.26/12,538.26 = 6,113.75/x
  3. Step 3: Cross multiply
    9,082.26x = 12,538.26 × 6,113.75
  4. Step 4: Simplify right side
    9,082.26x = 76,655,724.38
  5. Step 5: Solve for x
    x = 76,655,724.38/9,082.26
  6. Step 6: Final answer
    x = 8,440.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.