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Finding the Fourth Proportional to 6,214.28, 9,324.54 and 2,927

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Solution

The fourth proportional to 6,214.28, 9,324.54 and 2,927 is: 4,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.28 : 9,324.54 = 2,927 : x
  2. Step 2: Convert to fraction form
    6,214.28/9,324.54 = 2,927/x
  3. Step 3: Cross multiply
    6,214.28x = 9,324.54 × 2,927
  4. Step 4: Simplify right side
    6,214.28x = 27,292,928.58
  5. Step 5: Solve for x
    x = 27,292,928.58/6,214.28
  6. Step 6: Final answer
    x = 4,391.97

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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.