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Finding the Fourth Proportional to 9,843.44, 14,764.95 and 3,269.68

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Solution

The fourth proportional to 9,843.44, 14,764.95 and 3,269.68 is: 4,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.44 : 14,764.95 = 3,269.68 : x
  2. Step 2: Convert to fraction form
    9,843.44/14,764.95 = 3,269.68/x
  3. Step 3: Cross multiply
    9,843.44x = 14,764.95 × 3,269.68
  4. Step 4: Simplify right side
    9,843.44x = 48,276,624.80
  5. Step 5: Solve for x
    x = 48,276,624.80/9,843.44
  6. Step 6: Final answer
    x = 4,904.45

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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.