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Finding the Fourth Proportional to 5,960.26, 8,942.32 and 4,293.02

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Solution

The fourth proportional to 5,960.26, 8,942.32 and 4,293.02 is: 6,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.26 : 8,942.32 = 4,293.02 : x
  2. Step 2: Convert to fraction form
    5,960.26/8,942.32 = 4,293.02/x
  3. Step 3: Cross multiply
    5,960.26x = 8,942.32 × 4,293.02
  4. Step 4: Simplify right side
    5,960.26x = 38,389,558.61
  5. Step 5: Solve for x
    x = 38,389,558.61/5,960.26
  6. Step 6: Final answer
    x = 6,440.92

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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.