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Finding the Fourth Proportional to 10,101.97, 13,945.01 and 6,324.28

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Solution

The fourth proportional to 10,101.97, 13,945.01 and 6,324.28 is: 8,730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.97 : 13,945.01 = 6,324.28 : x
  2. Step 2: Convert to fraction form
    10,101.97/13,945.01 = 6,324.28/x
  3. Step 3: Cross multiply
    10,101.97x = 13,945.01 × 6,324.28
  4. Step 4: Simplify right side
    10,101.97x = 88,192,116.93
  5. Step 5: Solve for x
    x = 88,192,116.93/10,101.97
  6. Step 6: Final answer
    x = 8,730.19

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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.