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Finding the Fourth Proportional to 6,540.90, 9,033.88 and 4,441.38

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Solution

The fourth proportional to 6,540.90, 9,033.88 and 4,441.38 is: 6,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.90 : 9,033.88 = 4,441.38 : x
  2. Step 2: Convert to fraction form
    6,540.90/9,033.88 = 4,441.38/x
  3. Step 3: Cross multiply
    6,540.90x = 9,033.88 × 4,441.38
  4. Step 4: Simplify right side
    6,540.90x = 40,122,893.95
  5. Step 5: Solve for x
    x = 40,122,893.95/6,540.90
  6. Step 6: Final answer
    x = 6,134.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.