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Finding the Fourth Proportional to 6,192.64, 8,546.07 and 3,398.14

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Solution

The fourth proportional to 6,192.64, 8,546.07 and 3,398.14 is: 4,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.64 : 8,546.07 = 3,398.14 : x
  2. Step 2: Convert to fraction form
    6,192.64/8,546.07 = 3,398.14/x
  3. Step 3: Cross multiply
    6,192.64x = 8,546.07 × 3,398.14
  4. Step 4: Simplify right side
    6,192.64x = 29,040,742.31
  5. Step 5: Solve for x
    x = 29,040,742.31/6,192.64
  6. Step 6: Final answer
    x = 4,689.56

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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.