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Finding the Fourth Proportional to 9,914.44, 14,866.96 and 5,755.74

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Solution

The fourth proportional to 9,914.44, 14,866.96 and 5,755.74 is: 8,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.44 : 14,866.96 = 5,755.74 : x
  2. Step 2: Convert to fraction form
    9,914.44/14,866.96 = 5,755.74/x
  3. Step 3: Cross multiply
    9,914.44x = 14,866.96 × 5,755.74
  4. Step 4: Simplify right side
    9,914.44x = 85,570,356.35
  5. Step 5: Solve for x
    x = 85,570,356.35/9,914.44
  6. Step 6: Final answer
    x = 8,630.88

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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.