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Finding the Fourth Proportional to 9,882.56, 13,626.72 and 7,394.24

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Solution

The fourth proportional to 9,882.56, 13,626.72 and 7,394.24 is: 10,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.56 : 13,626.72 = 7,394.24 : x
  2. Step 2: Convert to fraction form
    9,882.56/13,626.72 = 7,394.24/x
  3. Step 3: Cross multiply
    9,882.56x = 13,626.72 × 7,394.24
  4. Step 4: Simplify right side
    9,882.56x = 100,759,238.09
  5. Step 5: Solve for x
    x = 100,759,238.09/9,882.56
  6. Step 6: Final answer
    x = 10,195.66

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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.