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Finding the Fourth Proportional to 9,600.96, 14,401.60 and 2,675.20

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Solution

The fourth proportional to 9,600.96, 14,401.60 and 2,675.20 is: 4,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.96 : 14,401.60 = 2,675.20 : x
  2. Step 2: Convert to fraction form
    9,600.96/14,401.60 = 2,675.20/x
  3. Step 3: Cross multiply
    9,600.96x = 14,401.60 × 2,675.20
  4. Step 4: Simplify right side
    9,600.96x = 38,527,160.32
  5. Step 5: Solve for x
    x = 38,527,160.32/9,600.96
  6. Step 6: Final answer
    x = 4,012.84

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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.