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Finding the Fourth Proportional to 9,976, 14,926.38 and 5,958.49

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Solution

The fourth proportional to 9,976, 14,926.38 and 5,958.49 is: 8,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976 : 14,926.38 = 5,958.49 : x
  2. Step 2: Convert to fraction form
    9,976/14,926.38 = 5,958.49/x
  3. Step 3: Cross multiply
    9,976x = 14,926.38 × 5,958.49
  4. Step 4: Simplify right side
    9,976x = 88,938,685.97
  5. Step 5: Solve for x
    x = 88,938,685.97/9,976
  6. Step 6: Final answer
    x = 8,915.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.