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Finding the Fourth Proportional to 6,943.26, 9,586.17 and 6,195.94

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Solution

The fourth proportional to 6,943.26, 9,586.17 and 6,195.94 is: 8,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.26 : 9,586.17 = 6,195.94 : x
  2. Step 2: Convert to fraction form
    6,943.26/9,586.17 = 6,195.94/x
  3. Step 3: Cross multiply
    6,943.26x = 9,586.17 × 6,195.94
  4. Step 4: Simplify right side
    6,943.26x = 59,395,310.18
  5. Step 5: Solve for x
    x = 59,395,310.18/6,943.26
  6. Step 6: Final answer
    x = 8,554.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.