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Finding the Fourth Proportional to 9,270.05, 13,905.10 and 2,250.05

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Solution

The fourth proportional to 9,270.05, 13,905.10 and 2,250.05 is: 3,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.05 : 13,905.10 = 2,250.05 : x
  2. Step 2: Convert to fraction form
    9,270.05/13,905.10 = 2,250.05/x
  3. Step 3: Cross multiply
    9,270.05x = 13,905.10 × 2,250.05
  4. Step 4: Simplify right side
    9,270.05x = 31,287,103.54
  5. Step 5: Solve for x
    x = 31,287,103.54/9,270.05
  6. Step 6: Final answer
    x = 3,375.08

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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.