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Finding the Fourth Proportional to 9,760.68, 13,469.74 and 5,284.44

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Solution

The fourth proportional to 9,760.68, 13,469.74 and 5,284.44 is: 7,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.68 : 13,469.74 = 5,284.44 : x
  2. Step 2: Convert to fraction form
    9,760.68/13,469.74 = 5,284.44/x
  3. Step 3: Cross multiply
    9,760.68x = 13,469.74 × 5,284.44
  4. Step 4: Simplify right side
    9,760.68x = 71,180,032.85
  5. Step 5: Solve for x
    x = 71,180,032.85/9,760.68
  6. Step 6: Final answer
    x = 7,292.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.