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Finding the Fourth Proportional to 6,673, 9,209.46 and 4,189

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Solution

The fourth proportional to 6,673, 9,209.46 and 4,189 is: 5,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673 : 9,209.46 = 4,189 : x
  2. Step 2: Convert to fraction form
    6,673/9,209.46 = 4,189/x
  3. Step 3: Cross multiply
    6,673x = 9,209.46 × 4,189
  4. Step 4: Simplify right side
    6,673x = 38,578,427.94
  5. Step 5: Solve for x
    x = 38,578,427.94/6,673
  6. Step 6: Final answer
    x = 5,781.27

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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.