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Finding the Fourth Proportional to 6,664.82, 9,198.16 and 4,148.15

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Solution

The fourth proportional to 6,664.82, 9,198.16 and 4,148.15 is: 5,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.82 : 9,198.16 = 4,148.15 : x
  2. Step 2: Convert to fraction form
    6,664.82/9,198.16 = 4,148.15/x
  3. Step 3: Cross multiply
    6,664.82x = 9,198.16 × 4,148.15
  4. Step 4: Simplify right side
    6,664.82x = 38,155,291.04
  5. Step 5: Solve for x
    x = 38,155,291.04/6,664.82
  6. Step 6: Final answer
    x = 5,724.88

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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.