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Finding the Fourth Proportional to 6,949.96, 9,589.44 and 3,964.66

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Solution

The fourth proportional to 6,949.96, 9,589.44 and 3,964.66 is: 5,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.96 : 9,589.44 = 3,964.66 : x
  2. Step 2: Convert to fraction form
    6,949.96/9,589.44 = 3,964.66/x
  3. Step 3: Cross multiply
    6,949.96x = 9,589.44 × 3,964.66
  4. Step 4: Simplify right side
    6,949.96x = 38,018,869.19
  5. Step 5: Solve for x
    x = 38,018,869.19/6,949.96
  6. Step 6: Final answer
    x = 5,470.37

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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.