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Finding the Fourth Proportional to 7,082.26, 9,751.20 and 6,426.16

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Solution

The fourth proportional to 7,082.26, 9,751.20 and 6,426.16 is: 8,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.26 : 9,751.20 = 6,426.16 : x
  2. Step 2: Convert to fraction form
    7,082.26/9,751.20 = 6,426.16/x
  3. Step 3: Cross multiply
    7,082.26x = 9,751.20 × 6,426.16
  4. Step 4: Simplify right side
    7,082.26x = 62,662,771.39
  5. Step 5: Solve for x
    x = 62,662,771.39/7,082.26
  6. Step 6: Final answer
    x = 8,847.85

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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.