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Finding the Fourth Proportional to 6,849.99, 9,449.01 and 4,016.70

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Solution

The fourth proportional to 6,849.99, 9,449.01 and 4,016.70 is: 5,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.99 : 9,449.01 = 4,016.70 : x
  2. Step 2: Convert to fraction form
    6,849.99/9,449.01 = 4,016.70/x
  3. Step 3: Cross multiply
    6,849.99x = 9,449.01 × 4,016.70
  4. Step 4: Simplify right side
    6,849.99x = 37,953,838.47
  5. Step 5: Solve for x
    x = 37,953,838.47/6,849.99
  6. Step 6: Final answer
    x = 5,540.71

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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.