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Finding the Fourth Proportional to 6,915.74, 9,543.41 and 4,231.42

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Solution

The fourth proportional to 6,915.74, 9,543.41 and 4,231.42 is: 5,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.74 : 9,543.41 = 4,231.42 : x
  2. Step 2: Convert to fraction form
    6,915.74/9,543.41 = 4,231.42/x
  3. Step 3: Cross multiply
    6,915.74x = 9,543.41 × 4,231.42
  4. Step 4: Simplify right side
    6,915.74x = 40,382,175.94
  5. Step 5: Solve for x
    x = 40,382,175.94/6,915.74
  6. Step 6: Final answer
    x = 5,839.17

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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.