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Finding the Fourth Proportional to 9,793.74, 14,691.53 and 3,219.94

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Solution

The fourth proportional to 9,793.74, 14,691.53 and 3,219.94 is: 4,830.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.74 : 14,691.53 = 3,219.94 : x
  2. Step 2: Convert to fraction form
    9,793.74/14,691.53 = 3,219.94/x
  3. Step 3: Cross multiply
    9,793.74x = 14,691.53 × 3,219.94
  4. Step 4: Simplify right side
    9,793.74x = 47,305,845.11
  5. Step 5: Solve for x
    x = 47,305,845.11/9,793.74
  6. Step 6: Final answer
    x = 4,830.21

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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.