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Finding the Fourth Proportional to 9,793.24, 14,690.78 and 3,219.44

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Solution

The fourth proportional to 9,793.24, 14,690.78 and 3,219.44 is: 4,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.24 : 14,690.78 = 3,219.44 : x
  2. Step 2: Convert to fraction form
    9,793.24/14,690.78 = 3,219.44/x
  3. Step 3: Cross multiply
    9,793.24x = 14,690.78 × 3,219.44
  4. Step 4: Simplify right side
    9,793.24x = 47,296,084.76
  5. Step 5: Solve for x
    x = 47,296,084.76/9,793.24
  6. Step 6: Final answer
    x = 4,829.46

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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.