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Finding the Fourth Proportional to 9,381.94, 12,941.43 and 6,195.26

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Solution

The fourth proportional to 9,381.94, 12,941.43 and 6,195.26 is: 8,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.94 : 12,941.43 = 6,195.26 : x
  2. Step 2: Convert to fraction form
    9,381.94/12,941.43 = 6,195.26/x
  3. Step 3: Cross multiply
    9,381.94x = 12,941.43 × 6,195.26
  4. Step 4: Simplify right side
    9,381.94x = 80,175,523.62
  5. Step 5: Solve for x
    x = 80,175,523.62/9,381.94
  6. Step 6: Final answer
    x = 8,545.73

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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.