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Finding the Fourth Proportional to 9,912.56, 13,679.38 and 5,720.82

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Solution

The fourth proportional to 9,912.56, 13,679.38 and 5,720.82 is: 7,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.56 : 13,679.38 = 5,720.82 : x
  2. Step 2: Convert to fraction form
    9,912.56/13,679.38 = 5,720.82/x
  3. Step 3: Cross multiply
    9,912.56x = 13,679.38 × 5,720.82
  4. Step 4: Simplify right side
    9,912.56x = 78,257,270.69
  5. Step 5: Solve for x
    x = 78,257,270.69/9,912.56
  6. Step 6: Final answer
    x = 7,894.76

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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.