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Finding the Fourth Proportional to 9,203.14, 13,806.01 and 2,961.70

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Solution

The fourth proportional to 9,203.14, 13,806.01 and 2,961.70 is: 4,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.14 : 13,806.01 = 2,961.70 : x
  2. Step 2: Convert to fraction form
    9,203.14/13,806.01 = 2,961.70/x
  3. Step 3: Cross multiply
    9,203.14x = 13,806.01 × 2,961.70
  4. Step 4: Simplify right side
    9,203.14x = 40,889,217.90
  5. Step 5: Solve for x
    x = 40,889,217.90/9,203.14
  6. Step 6: Final answer
    x = 4,442.97

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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.