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Finding the Fourth Proportional to 9,793.96, 14,687.82 and 3,218.63

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Solution

The fourth proportional to 9,793.96, 14,687.82 and 3,218.63 is: 4,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.96 : 14,687.82 = 3,218.63 : x
  2. Step 2: Convert to fraction form
    9,793.96/14,687.82 = 3,218.63/x
  3. Step 3: Cross multiply
    9,793.96x = 14,687.82 × 3,218.63
  4. Step 4: Simplify right side
    9,793.96x = 47,274,568.55
  5. Step 5: Solve for x
    x = 47,274,568.55/9,793.96
  6. Step 6: Final answer
    x = 4,826.91

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