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Finding the Fourth Proportional to 6,967.17, 9,614.57 and 3,942.26

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Solution

The fourth proportional to 6,967.17, 9,614.57 and 3,942.26 is: 5,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.17 : 9,614.57 = 3,942.26 : x
  2. Step 2: Convert to fraction form
    6,967.17/9,614.57 = 3,942.26/x
  3. Step 3: Cross multiply
    6,967.17x = 9,614.57 × 3,942.26
  4. Step 4: Simplify right side
    6,967.17x = 37,903,168.62
  5. Step 5: Solve for x
    x = 37,903,168.62/6,967.17
  6. Step 6: Final answer
    x = 5,440.25

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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.