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Finding the Fourth Proportional to 6,666.39, 9,199.43 and 3,682.16

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Solution

The fourth proportional to 6,666.39, 9,199.43 and 3,682.16 is: 5,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.39 : 9,199.43 = 3,682.16 : x
  2. Step 2: Convert to fraction form
    6,666.39/9,199.43 = 3,682.16/x
  3. Step 3: Cross multiply
    6,666.39x = 9,199.43 × 3,682.16
  4. Step 4: Simplify right side
    6,666.39x = 33,873,757.07
  5. Step 5: Solve for x
    x = 33,873,757.07/6,666.39
  6. Step 6: Final answer
    x = 5,081.27

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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.