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Finding the Fourth Proportional to 9,213.67, 13,823.28 and 3,289.80

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Solution

The fourth proportional to 9,213.67, 13,823.28 and 3,289.80 is: 4,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.67 : 13,823.28 = 3,289.80 : x
  2. Step 2: Convert to fraction form
    9,213.67/13,823.28 = 3,289.80/x
  3. Step 3: Cross multiply
    9,213.67x = 13,823.28 × 3,289.80
  4. Step 4: Simplify right side
    9,213.67x = 45,475,826.54
  5. Step 5: Solve for x
    x = 45,475,826.54/9,213.67
  6. Step 6: Final answer
    x = 4,935.69

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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.