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Finding the Fourth Proportional to 6,669.86, 9,204.82 and 3,685.68

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Solution

The fourth proportional to 6,669.86, 9,204.82 and 3,685.68 is: 5,086.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.86 : 9,204.82 = 3,685.68 : x
  2. Step 2: Convert to fraction form
    6,669.86/9,204.82 = 3,685.68/x
  3. Step 3: Cross multiply
    6,669.86x = 9,204.82 × 3,685.68
  4. Step 4: Simplify right side
    6,669.86x = 33,926,020.98
  5. Step 5: Solve for x
    x = 33,926,020.98/6,669.86
  6. Step 6: Final answer
    x = 5,086.47

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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.