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Finding the Fourth Proportional to 8,914.37, 13,363.63 and 4,231.49

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Solution

The fourth proportional to 8,914.37, 13,363.63 and 4,231.49 is: 6,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.37 : 13,363.63 = 4,231.49 : x
  2. Step 2: Convert to fraction form
    8,914.37/13,363.63 = 4,231.49/x
  3. Step 3: Cross multiply
    8,914.37x = 13,363.63 × 4,231.49
  4. Step 4: Simplify right side
    8,914.37x = 56,548,089.54
  5. Step 5: Solve for x
    x = 56,548,089.54/8,914.37
  6. Step 6: Final answer
    x = 6,343.47

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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.