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Finding the Fourth Proportional to 9,793.77, 14,687.54 and 3,218.43

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Solution

The fourth proportional to 9,793.77, 14,687.54 and 3,218.43 is: 4,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.77 : 14,687.54 = 3,218.43 : x
  2. Step 2: Convert to fraction form
    9,793.77/14,687.54 = 3,218.43/x
  3. Step 3: Cross multiply
    9,793.77x = 14,687.54 × 3,218.43
  4. Step 4: Simplify right side
    9,793.77x = 47,270,819.36
  5. Step 5: Solve for x
    x = 47,270,819.36/9,793.77
  6. Step 6: Final answer
    x = 4,826.62

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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.