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Finding the Fourth Proportional to 9,764.52, 14,649.20 and 2,839

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Solution

The fourth proportional to 9,764.52, 14,649.20 and 2,839 is: 4,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.52 : 14,649.20 = 2,839 : x
  2. Step 2: Convert to fraction form
    9,764.52/14,649.20 = 2,839/x
  3. Step 3: Cross multiply
    9,764.52x = 14,649.20 × 2,839
  4. Step 4: Simplify right side
    9,764.52x = 41,589,078.80
  5. Step 5: Solve for x
    x = 41,589,078.80/9,764.52
  6. Step 6: Final answer
    x = 4,259.20

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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.