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Finding the Fourth Proportional to 9,082.16, 13,626.48 and 5,189.84

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Solution

The fourth proportional to 9,082.16, 13,626.48 and 5,189.84 is: 7,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.16 : 13,626.48 = 5,189.84 : x
  2. Step 2: Convert to fraction form
    9,082.16/13,626.48 = 5,189.84/x
  3. Step 3: Cross multiply
    9,082.16x = 13,626.48 × 5,189.84
  4. Step 4: Simplify right side
    9,082.16x = 70,719,250.96
  5. Step 5: Solve for x
    x = 70,719,250.96/9,082.16
  6. Step 6: Final answer
    x = 7,786.61

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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.