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Finding the Fourth Proportional to 9,205.32, 13,798.11 and 3,650.97

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Solution

The fourth proportional to 9,205.32, 13,798.11 and 3,650.97 is: 5,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.32 : 13,798.11 = 3,650.97 : x
  2. Step 2: Convert to fraction form
    9,205.32/13,798.11 = 3,650.97/x
  3. Step 3: Cross multiply
    9,205.32x = 13,798.11 × 3,650.97
  4. Step 4: Simplify right side
    9,205.32x = 50,376,485.67
  5. Step 5: Solve for x
    x = 50,376,485.67/9,205.32
  6. Step 6: Final answer
    x = 5,472.54

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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.