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Finding the Fourth Proportional to 9,192.78, 13,793.22 and 4,813.38

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Solution

The fourth proportional to 9,192.78, 13,793.22 and 4,813.38 is: 7,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.78 : 13,793.22 = 4,813.38 : x
  2. Step 2: Convert to fraction form
    9,192.78/13,793.22 = 4,813.38/x
  3. Step 3: Cross multiply
    9,192.78x = 13,793.22 × 4,813.38
  4. Step 4: Simplify right side
    9,192.78x = 66,392,009.28
  5. Step 5: Solve for x
    x = 66,392,009.28/9,192.78
  6. Step 6: Final answer
    x = 7,222.19

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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.