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Finding the Fourth Proportional to 9,650.01, 14,481.94 and 4,107.25

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Solution

The fourth proportional to 9,650.01, 14,481.94 and 4,107.25 is: 6,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.01 : 14,481.94 = 4,107.25 : x
  2. Step 2: Convert to fraction form
    9,650.01/14,481.94 = 4,107.25/x
  3. Step 3: Cross multiply
    9,650.01x = 14,481.94 × 4,107.25
  4. Step 4: Simplify right side
    9,650.01x = 59,480,948.07
  5. Step 5: Solve for x
    x = 59,480,948.07/9,650.01
  6. Step 6: Final answer
    x = 6,163.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.