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Finding the Fourth Proportional to 6,960.43, 9,614.60 and 5,188.96

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Solution

The fourth proportional to 6,960.43, 9,614.60 and 5,188.96 is: 7,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.43 : 9,614.60 = 5,188.96 : x
  2. Step 2: Convert to fraction form
    6,960.43/9,614.60 = 5,188.96/x
  3. Step 3: Cross multiply
    6,960.43x = 9,614.60 × 5,188.96
  4. Step 4: Simplify right side
    6,960.43x = 49,889,774.82
  5. Step 5: Solve for x
    x = 49,889,774.82/6,960.43
  6. Step 6: Final answer
    x = 7,167.63

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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.