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Finding the Fourth Proportional to 9,914.64, 14,856.18 and 5,234.48

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Solution

The fourth proportional to 9,914.64, 14,856.18 and 5,234.48 is: 7,843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.64 : 14,856.18 = 5,234.48 : x
  2. Step 2: Convert to fraction form
    9,914.64/14,856.18 = 5,234.48/x
  3. Step 3: Cross multiply
    9,914.64x = 14,856.18 × 5,234.48
  4. Step 4: Simplify right side
    9,914.64x = 77,764,377.09
  5. Step 5: Solve for x
    x = 77,764,377.09/9,914.64
  6. Step 6: Final answer
    x = 7,843.39

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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.