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Finding the Fourth Proportional to 22,942.29, 34,414.44 and 6,303.96

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Solution

The fourth proportional to 22,942.29, 34,414.44 and 6,303.96 is: 9,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.29 : 34,414.44 = 6,303.96 : x
  2. Step 2: Convert to fraction form
    22,942.29/34,414.44 = 6,303.96/x
  3. Step 3: Cross multiply
    22,942.29x = 34,414.44 × 6,303.96
  4. Step 4: Simplify right side
    22,942.29x = 216,947,253.18
  5. Step 5: Solve for x
    x = 216,947,253.18/22,942.29
  6. Step 6: Final answer
    x = 9,456.22

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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.