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Finding the Fourth Proportional to 9,760.60, 13,469.69 and 5,284.39

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Solution

The fourth proportional to 9,760.60, 13,469.69 and 5,284.39 is: 7,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.60 : 13,469.69 = 5,284.39 : x
  2. Step 2: Convert to fraction form
    9,760.60/13,469.69 = 5,284.39/x
  3. Step 3: Cross multiply
    9,760.60x = 13,469.69 × 5,284.39
  4. Step 4: Simplify right side
    9,760.60x = 71,179,099.93
  5. Step 5: Solve for x
    x = 71,179,099.93/9,760.60
  6. Step 6: Final answer
    x = 7,292.49

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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.