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Finding the Fourth Proportional to 6,669.34, 9,204.23 and 3,685.50

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Solution

The fourth proportional to 6,669.34, 9,204.23 and 3,685.50 is: 5,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.34 : 9,204.23 = 3,685.50 : x
  2. Step 2: Convert to fraction form
    6,669.34/9,204.23 = 3,685.50/x
  3. Step 3: Cross multiply
    6,669.34x = 9,204.23 × 3,685.50
  4. Step 4: Simplify right side
    6,669.34x = 33,922,198.88
  5. Step 5: Solve for x
    x = 33,922,198.88/6,669.34
  6. Step 6: Final answer
    x = 5,086.29

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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.