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Finding the Fourth Proportional to 6,540.72, 9,033.48 and 4,441.20

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Solution

The fourth proportional to 6,540.72, 9,033.48 and 4,441.20 is: 6,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.72 : 9,033.48 = 4,441.20 : x
  2. Step 2: Convert to fraction form
    6,540.72/9,033.48 = 4,441.20/x
  3. Step 3: Cross multiply
    6,540.72x = 9,033.48 × 4,441.20
  4. Step 4: Simplify right side
    6,540.72x = 40,119,491.38
  5. Step 5: Solve for x
    x = 40,119,491.38/6,540.72
  6. Step 6: Final answer
    x = 6,133.80

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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.