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Finding the Fourth Proportional to 6,892.20, 9,511.20 and 3,908.16

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Solution

The fourth proportional to 6,892.20, 9,511.20 and 3,908.16 is: 5,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.20 : 9,511.20 = 3,908.16 : x
  2. Step 2: Convert to fraction form
    6,892.20/9,511.20 = 3,908.16/x
  3. Step 3: Cross multiply
    6,892.20x = 9,511.20 × 3,908.16
  4. Step 4: Simplify right side
    6,892.20x = 37,171,291.39
  5. Step 5: Solve for x
    x = 37,171,291.39/6,892.20
  6. Step 6: Final answer
    x = 5,393.24

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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.