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Finding the Fourth Proportional to 6,849.29, 9,451.89 and 4,491.28

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Solution

The fourth proportional to 6,849.29, 9,451.89 and 4,491.28 is: 6,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.29 : 9,451.89 = 4,491.28 : x
  2. Step 2: Convert to fraction form
    6,849.29/9,451.89 = 4,491.28/x
  3. Step 3: Cross multiply
    6,849.29x = 9,451.89 × 4,491.28
  4. Step 4: Simplify right side
    6,849.29x = 42,451,096.33
  5. Step 5: Solve for x
    x = 42,451,096.33/6,849.29
  6. Step 6: Final answer
    x = 6,197.88

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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.