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Finding the Fourth Proportional to 9,760.62, 13,469.72 and 5,284.38

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Solution

The fourth proportional to 9,760.62, 13,469.72 and 5,284.38 is: 7,292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.62 : 13,469.72 = 5,284.38 : x
  2. Step 2: Convert to fraction form
    9,760.62/13,469.72 = 5,284.38/x
  3. Step 3: Cross multiply
    9,760.62x = 13,469.72 × 5,284.38
  4. Step 4: Simplify right side
    9,760.62x = 71,179,025.20
  5. Step 5: Solve for x
    x = 71,179,025.20/9,760.62
  6. Step 6: Final answer
    x = 7,292.47

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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.