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Finding the Fourth Proportional to 9,217.67, 13,827.21 and 3,295.81

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Solution

The fourth proportional to 9,217.67, 13,827.21 and 3,295.81 is: 4,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.67 : 13,827.21 = 3,295.81 : x
  2. Step 2: Convert to fraction form
    9,217.67/13,827.21 = 3,295.81/x
  3. Step 3: Cross multiply
    9,217.67x = 13,827.21 × 3,295.81
  4. Step 4: Simplify right side
    9,217.67x = 45,571,886.63
  5. Step 5: Solve for x
    x = 45,571,886.63/9,217.67
  6. Step 6: Final answer
    x = 4,943.97

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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.