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Finding the Fourth Proportional to 9,735.29, 13,434.97 and 5,958.38

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Solution

The fourth proportional to 9,735.29, 13,434.97 and 5,958.38 is: 8,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.29 : 13,434.97 = 5,958.38 : x
  2. Step 2: Convert to fraction form
    9,735.29/13,434.97 = 5,958.38/x
  3. Step 3: Cross multiply
    9,735.29x = 13,434.97 × 5,958.38
  4. Step 4: Simplify right side
    9,735.29x = 80,050,675.24
  5. Step 5: Solve for x
    x = 80,050,675.24/9,735.29
  6. Step 6: Final answer
    x = 8,222.73

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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.