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Finding the Fourth Proportional to 9,481.12, 14,220.06 and 2,554

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Solution

The fourth proportional to 9,481.12, 14,220.06 and 2,554 is: 3,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.12 : 14,220.06 = 2,554 : x
  2. Step 2: Convert to fraction form
    9,481.12/14,220.06 = 2,554/x
  3. Step 3: Cross multiply
    9,481.12x = 14,220.06 × 2,554
  4. Step 4: Simplify right side
    9,481.12x = 36,318,033.24
  5. Step 5: Solve for x
    x = 36,318,033.24/9,481.12
  6. Step 6: Final answer
    x = 3,830.56

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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.