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Finding the Fourth Proportional to 9,415.50, 14,112.21 and 3,861.42

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Solution

The fourth proportional to 9,415.50, 14,112.21 and 3,861.42 is: 5,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.50 : 14,112.21 = 3,861.42 : x
  2. Step 2: Convert to fraction form
    9,415.50/14,112.21 = 3,861.42/x
  3. Step 3: Cross multiply
    9,415.50x = 14,112.21 × 3,861.42
  4. Step 4: Simplify right side
    9,415.50x = 54,493,169.94
  5. Step 5: Solve for x
    x = 54,493,169.94/9,415.50
  6. Step 6: Final answer
    x = 5,787.60

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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.