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Finding the Fourth Proportional to 6,666.54, 9,199.78 and 3,682.31

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Solution

The fourth proportional to 6,666.54, 9,199.78 and 3,682.31 is: 5,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.54 : 9,199.78 = 3,682.31 : x
  2. Step 2: Convert to fraction form
    6,666.54/9,199.78 = 3,682.31/x
  3. Step 3: Cross multiply
    6,666.54x = 9,199.78 × 3,682.31
  4. Step 4: Simplify right side
    6,666.54x = 33,876,441.89
  5. Step 5: Solve for x
    x = 33,876,441.89/6,666.54
  6. Step 6: Final answer
    x = 5,081.56

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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.