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Finding the Fourth Proportional to 9,222.94, 13,833.55 and 3,674.80

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Solution

The fourth proportional to 9,222.94, 13,833.55 and 3,674.80 is: 5,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.94 : 13,833.55 = 3,674.80 : x
  2. Step 2: Convert to fraction form
    9,222.94/13,833.55 = 3,674.80/x
  3. Step 3: Cross multiply
    9,222.94x = 13,833.55 × 3,674.80
  4. Step 4: Simplify right side
    9,222.94x = 50,835,442.00
  5. Step 5: Solve for x
    x = 50,835,442.00/9,222.94
  6. Step 6: Final answer
    x = 5,511.85

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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.