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Finding the Fourth Proportional to 9,704.82, 13,390.97 and 5,725.38

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Solution

The fourth proportional to 9,704.82, 13,390.97 and 5,725.38 is: 7,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.82 : 13,390.97 = 5,725.38 : x
  2. Step 2: Convert to fraction form
    9,704.82/13,390.97 = 5,725.38/x
  3. Step 3: Cross multiply
    9,704.82x = 13,390.97 × 5,725.38
  4. Step 4: Simplify right side
    9,704.82x = 76,668,363.19
  5. Step 5: Solve for x
    x = 76,668,363.19/9,704.82
  6. Step 6: Final answer
    x = 7,900.03

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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.