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Finding the Fourth Proportional to 9,764.88, 14,644.29 and 3,524.09

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Solution

The fourth proportional to 9,764.88, 14,644.29 and 3,524.09 is: 5,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.88 : 14,644.29 = 3,524.09 : x
  2. Step 2: Convert to fraction form
    9,764.88/14,644.29 = 3,524.09/x
  3. Step 3: Cross multiply
    9,764.88x = 14,644.29 × 3,524.09
  4. Step 4: Simplify right side
    9,764.88x = 51,607,795.95
  5. Step 5: Solve for x
    x = 51,607,795.95/9,764.88
  6. Step 6: Final answer
    x = 5,285.04

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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.