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Finding the Fourth Proportional to 6,763.52, 9,334.73 and 3,892.16

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Solution

The fourth proportional to 6,763.52, 9,334.73 and 3,892.16 is: 5,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.52 : 9,334.73 = 3,892.16 : x
  2. Step 2: Convert to fraction form
    6,763.52/9,334.73 = 3,892.16/x
  3. Step 3: Cross multiply
    6,763.52x = 9,334.73 × 3,892.16
  4. Step 4: Simplify right side
    6,763.52x = 36,332,196.58
  5. Step 5: Solve for x
    x = 36,332,196.58/6,763.52
  6. Step 6: Final answer
    x = 5,371.79

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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.