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Finding the Fourth Proportional to 9,765.11, 14,644.64 and 3,524.31

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Solution

The fourth proportional to 9,765.11, 14,644.64 and 3,524.31 is: 5,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.11 : 14,644.64 = 3,524.31 : x
  2. Step 2: Convert to fraction form
    9,765.11/14,644.64 = 3,524.31/x
  3. Step 3: Cross multiply
    9,765.11x = 14,644.64 × 3,524.31
  4. Step 4: Simplify right side
    9,765.11x = 51,612,260.01
  5. Step 5: Solve for x
    x = 51,612,260.01/9,765.11
  6. Step 6: Final answer
    x = 5,285.37

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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.