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Finding the Fourth Proportional to 6,950.36, 9,589.10 and 3,964.04

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Solution

The fourth proportional to 6,950.36, 9,589.10 and 3,964.04 is: 5,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.36 : 9,589.10 = 3,964.04 : x
  2. Step 2: Convert to fraction form
    6,950.36/9,589.10 = 3,964.04/x
  3. Step 3: Cross multiply
    6,950.36x = 9,589.10 × 3,964.04
  4. Step 4: Simplify right side
    6,950.36x = 38,011,575.96
  5. Step 5: Solve for x
    x = 38,011,575.96/6,950.36
  6. Step 6: Final answer
    x = 5,469.01

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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.