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Finding the Fourth Proportional to 9,811.26, 14,716.89 and 3,967.92

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Solution

The fourth proportional to 9,811.26, 14,716.89 and 3,967.92 is: 5,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.26 : 14,716.89 = 3,967.92 : x
  2. Step 2: Convert to fraction form
    9,811.26/14,716.89 = 3,967.92/x
  3. Step 3: Cross multiply
    9,811.26x = 14,716.89 × 3,967.92
  4. Step 4: Simplify right side
    9,811.26x = 58,395,442.17
  5. Step 5: Solve for x
    x = 58,395,442.17/9,811.26
  6. Step 6: Final answer
    x = 5,951.88

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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.