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Finding the Fourth Proportional to 9,201.06, 13,801.50 and 2,627.22

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Solution

The fourth proportional to 9,201.06, 13,801.50 and 2,627.22 is: 3,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.06 : 13,801.50 = 2,627.22 : x
  2. Step 2: Convert to fraction form
    9,201.06/13,801.50 = 2,627.22/x
  3. Step 3: Cross multiply
    9,201.06x = 13,801.50 × 2,627.22
  4. Step 4: Simplify right side
    9,201.06x = 36,259,576.83
  5. Step 5: Solve for x
    x = 36,259,576.83/9,201.06
  6. Step 6: Final answer
    x = 3,940.80

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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.