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Finding the Fourth Proportional to 9,393.96, 14,092.30 and 2,819.28

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Solution

The fourth proportional to 9,393.96, 14,092.30 and 2,819.28 is: 4,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.96 : 14,092.30 = 2,819.28 : x
  2. Step 2: Convert to fraction form
    9,393.96/14,092.30 = 2,819.28/x
  3. Step 3: Cross multiply
    9,393.96x = 14,092.30 × 2,819.28
  4. Step 4: Simplify right side
    9,393.96x = 39,730,139.54
  5. Step 5: Solve for x
    x = 39,730,139.54/9,393.96
  6. Step 6: Final answer
    x = 4,229.33

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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.