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Finding the Fourth Proportional to 6,906.38, 10,352.63 and 2,222.95

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Solution

The fourth proportional to 6,906.38, 10,352.63 and 2,222.95 is: 3,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.38 : 10,352.63 = 2,222.95 : x
  2. Step 2: Convert to fraction form
    6,906.38/10,352.63 = 2,222.95/x
  3. Step 3: Cross multiply
    6,906.38x = 10,352.63 × 2,222.95
  4. Step 4: Simplify right side
    6,906.38x = 23,013,358.53
  5. Step 5: Solve for x
    x = 23,013,358.53/6,906.38
  6. Step 6: Final answer
    x = 3,332.19

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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.