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Finding the Fourth Proportional to 9,793.31, 14,681.66 and 3,217.73

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Solution

The fourth proportional to 9,793.31, 14,681.66 and 3,217.73 is: 4,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.31 : 14,681.66 = 3,217.73 : x
  2. Step 2: Convert to fraction form
    9,793.31/14,681.66 = 3,217.73/x
  3. Step 3: Cross multiply
    9,793.31x = 14,681.66 × 3,217.73
  4. Step 4: Simplify right side
    9,793.31x = 47,241,528.33
  5. Step 5: Solve for x
    x = 47,241,528.33/9,793.31
  6. Step 6: Final answer
    x = 4,823.86

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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.