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Finding the Fourth Proportional to 6,394.73, 9,592.10 and 2,446.39

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Solution

The fourth proportional to 6,394.73, 9,592.10 and 2,446.39 is: 3,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.73 : 9,592.10 = 2,446.39 : x
  2. Step 2: Convert to fraction form
    6,394.73/9,592.10 = 2,446.39/x
  3. Step 3: Cross multiply
    6,394.73x = 9,592.10 × 2,446.39
  4. Step 4: Simplify right side
    6,394.73x = 23,466,005.29
  5. Step 5: Solve for x
    x = 23,466,005.29/6,394.73
  6. Step 6: Final answer
    x = 3,669.59

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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.