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Finding the Fourth Proportional to 6,915.82, 9,543.74 and 3,772

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Solution

The fourth proportional to 6,915.82, 9,543.74 and 3,772 is: 5,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.82 : 9,543.74 = 3,772 : x
  2. Step 2: Convert to fraction form
    6,915.82/9,543.74 = 3,772/x
  3. Step 3: Cross multiply
    6,915.82x = 9,543.74 × 3,772
  4. Step 4: Simplify right side
    6,915.82x = 35,998,968.42
  5. Step 5: Solve for x
    x = 35,998,968.42/6,915.82
  6. Step 6: Final answer
    x = 5,205.31

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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.