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Finding the Fourth Proportional to 6,922.84, 9,553.78 and 3,938.94

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Solution

The fourth proportional to 6,922.84, 9,553.78 and 3,938.94 is: 5,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.84 : 9,553.78 = 3,938.94 : x
  2. Step 2: Convert to fraction form
    6,922.84/9,553.78 = 3,938.94/x
  3. Step 3: Cross multiply
    6,922.84x = 9,553.78 × 3,938.94
  4. Step 4: Simplify right side
    6,922.84x = 37,631,766.19
  5. Step 5: Solve for x
    x = 37,631,766.19/6,922.84
  6. Step 6: Final answer
    x = 5,435.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.