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Finding the Fourth Proportional to 9,601.75, 14,403.84 and 2,676.25

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Solution

The fourth proportional to 9,601.75, 14,403.84 and 2,676.25 is: 4,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.75 : 14,403.84 = 2,676.25 : x
  2. Step 2: Convert to fraction form
    9,601.75/14,403.84 = 2,676.25/x
  3. Step 3: Cross multiply
    9,601.75x = 14,403.84 × 2,676.25
  4. Step 4: Simplify right side
    9,601.75x = 38,548,276.80
  5. Step 5: Solve for x
    x = 38,548,276.80/9,601.75
  6. Step 6: Final answer
    x = 4,014.71

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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.