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Finding the Fourth Proportional to 6,967.34, 9,614.30 and 4,134.23

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Solution

The fourth proportional to 6,967.34, 9,614.30 and 4,134.23 is: 5,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.34 : 9,614.30 = 4,134.23 : x
  2. Step 2: Convert to fraction form
    6,967.34/9,614.30 = 4,134.23/x
  3. Step 3: Cross multiply
    6,967.34x = 9,614.30 × 4,134.23
  4. Step 4: Simplify right side
    6,967.34x = 39,747,706.43
  5. Step 5: Solve for x
    x = 39,747,706.43/6,967.34
  6. Step 6: Final answer
    x = 5,704.86

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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.