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Finding the Fourth Proportional to 10,046.54, 13,862.54 and 6,694.36

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Solution

The fourth proportional to 10,046.54, 13,862.54 and 6,694.36 is: 9,237.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.54 : 13,862.54 = 6,694.36 : x
  2. Step 2: Convert to fraction form
    10,046.54/13,862.54 = 6,694.36/x
  3. Step 3: Cross multiply
    10,046.54x = 13,862.54 × 6,694.36
  4. Step 4: Simplify right side
    10,046.54x = 92,800,833.27
  5. Step 5: Solve for x
    x = 92,800,833.27/10,046.54
  6. Step 6: Final answer
    x = 9,237.09

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