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Finding the Fourth Proportional to 6,201.20, 9,301.80 and 4,232.90

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Solution

The fourth proportional to 6,201.20, 9,301.80 and 4,232.90 is: 6,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.20 : 9,301.80 = 4,232.90 : x
  2. Step 2: Convert to fraction form
    6,201.20/9,301.80 = 4,232.90/x
  3. Step 3: Cross multiply
    6,201.20x = 9,301.80 × 4,232.90
  4. Step 4: Simplify right side
    6,201.20x = 39,373,589.22
  5. Step 5: Solve for x
    x = 39,373,589.22/6,201.20
  6. Step 6: Final answer
    x = 6,349.35

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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.