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Finding the Fourth Proportional to 9,793.41, 14,691.74 and 4,863.21

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Solution

The fourth proportional to 9,793.41, 14,691.74 and 4,863.21 is: 7,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.41 : 14,691.74 = 4,863.21 : x
  2. Step 2: Convert to fraction form
    9,793.41/14,691.74 = 4,863.21/x
  3. Step 3: Cross multiply
    9,793.41x = 14,691.74 × 4,863.21
  4. Step 4: Simplify right side
    9,793.41x = 71,448,992.57
  5. Step 5: Solve for x
    x = 71,448,992.57/9,793.41
  6. Step 6: Final answer
    x = 7,295.62

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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.