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Finding the Fourth Proportional to 9,600.25, 14,401.20 and 2,674.75

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Solution

The fourth proportional to 9,600.25, 14,401.20 and 2,674.75 is: 4,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.25 : 14,401.20 = 2,674.75 : x
  2. Step 2: Convert to fraction form
    9,600.25/14,401.20 = 2,674.75/x
  3. Step 3: Cross multiply
    9,600.25x = 14,401.20 × 2,674.75
  4. Step 4: Simplify right side
    9,600.25x = 38,519,609.70
  5. Step 5: Solve for x
    x = 38,519,609.70/9,600.25
  6. Step 6: Final answer
    x = 4,012.35

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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.