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Finding the Fourth Proportional to 9,967.62, 14,951.43 and 3,393.66

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Solution

The fourth proportional to 9,967.62, 14,951.43 and 3,393.66 is: 5,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.62 : 14,951.43 = 3,393.66 : x
  2. Step 2: Convert to fraction form
    9,967.62/14,951.43 = 3,393.66/x
  3. Step 3: Cross multiply
    9,967.62x = 14,951.43 × 3,393.66
  4. Step 4: Simplify right side
    9,967.62x = 50,740,069.93
  5. Step 5: Solve for x
    x = 50,740,069.93/9,967.62
  6. Step 6: Final answer
    x = 5,090.49

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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.