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Finding the Fourth Proportional to 9,480.70, 14,221.11 and 5,100.22

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Solution

The fourth proportional to 9,480.70, 14,221.11 and 5,100.22 is: 7,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.70 : 14,221.11 = 5,100.22 : x
  2. Step 2: Convert to fraction form
    9,480.70/14,221.11 = 5,100.22/x
  3. Step 3: Cross multiply
    9,480.70x = 14,221.11 × 5,100.22
  4. Step 4: Simplify right side
    9,480.70x = 72,530,789.64
  5. Step 5: Solve for x
    x = 72,530,789.64/9,480.70
  6. Step 6: Final answer
    x = 7,650.36

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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.