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Finding the Fourth Proportional to 9,633.66, 14,450.52 and 5,254.80

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Solution

The fourth proportional to 9,633.66, 14,450.52 and 5,254.80 is: 7,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.66 : 14,450.52 = 5,254.80 : x
  2. Step 2: Convert to fraction form
    9,633.66/14,450.52 = 5,254.80/x
  3. Step 3: Cross multiply
    9,633.66x = 14,450.52 × 5,254.80
  4. Step 4: Simplify right side
    9,633.66x = 75,934,592.50
  5. Step 5: Solve for x
    x = 75,934,592.50/9,633.66
  6. Step 6: Final answer
    x = 7,882.22

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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.