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Finding the Fourth Proportional to 9,843.25, 14,764.67 and 3,269.49

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Solution

The fourth proportional to 9,843.25, 14,764.67 and 3,269.49 is: 4,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.25 : 14,764.67 = 3,269.49 : x
  2. Step 2: Convert to fraction form
    9,843.25/14,764.67 = 3,269.49/x
  3. Step 3: Cross multiply
    9,843.25x = 14,764.67 × 3,269.49
  4. Step 4: Simplify right side
    9,843.25x = 48,272,932.74
  5. Step 5: Solve for x
    x = 48,272,932.74/9,843.25
  6. Step 6: Final answer
    x = 4,904.17

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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.