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Finding the Fourth Proportional to 9,796.75, 14,696.63 and 3,221.39

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Solution

The fourth proportional to 9,796.75, 14,696.63 and 3,221.39 is: 4,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.75 : 14,696.63 = 3,221.39 : x
  2. Step 2: Convert to fraction form
    9,796.75/14,696.63 = 3,221.39/x
  3. Step 3: Cross multiply
    9,796.75x = 14,696.63 × 3,221.39
  4. Step 4: Simplify right side
    9,796.75x = 47,343,576.92
  5. Step 5: Solve for x
    x = 47,343,576.92/9,796.75
  6. Step 6: Final answer
    x = 4,832.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.