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Finding the Fourth Proportional to 6,674.42, 9,209.89 and 3,689.84

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Solution

The fourth proportional to 6,674.42, 9,209.89 and 3,689.84 is: 5,091.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.42 : 9,209.89 = 3,689.84 : x
  2. Step 2: Convert to fraction form
    6,674.42/9,209.89 = 3,689.84/x
  3. Step 3: Cross multiply
    6,674.42x = 9,209.89 × 3,689.84
  4. Step 4: Simplify right side
    6,674.42x = 33,983,048.15
  5. Step 5: Solve for x
    x = 33,983,048.15/6,674.42
  6. Step 6: Final answer
    x = 5,091.53

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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.