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Finding the Fourth Proportional to 6,886.38, 10,318.22 and 3,967.14

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Solution

The fourth proportional to 6,886.38, 10,318.22 and 3,967.14 is: 5,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.38 : 10,318.22 = 3,967.14 : x
  2. Step 2: Convert to fraction form
    6,886.38/10,318.22 = 3,967.14/x
  3. Step 3: Cross multiply
    6,886.38x = 10,318.22 × 3,967.14
  4. Step 4: Simplify right side
    6,886.38x = 40,933,823.29
  5. Step 5: Solve for x
    x = 40,933,823.29/6,886.38
  6. Step 6: Final answer
    x = 5,944.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.