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Finding the Fourth Proportional to 6,628.91, 9,932.42 and 4,438.31

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Solution

The fourth proportional to 6,628.91, 9,932.42 and 4,438.31 is: 6,650.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.91 : 9,932.42 = 4,438.31 : x
  2. Step 2: Convert to fraction form
    6,628.91/9,932.42 = 4,438.31/x
  3. Step 3: Cross multiply
    6,628.91x = 9,932.42 × 4,438.31
  4. Step 4: Simplify right side
    6,628.91x = 44,083,120.44
  5. Step 5: Solve for x
    x = 44,083,120.44/6,628.91
  6. Step 6: Final answer
    x = 6,650.14

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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.