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Finding the Fourth Proportional to 9,600.50, 14,401.30 and 2,675.54

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Solution

The fourth proportional to 9,600.50, 14,401.30 and 2,675.54 is: 4,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.50 : 14,401.30 = 2,675.54 : x
  2. Step 2: Convert to fraction form
    9,600.50/14,401.30 = 2,675.54/x
  3. Step 3: Cross multiply
    9,600.50x = 14,401.30 × 2,675.54
  4. Step 4: Simplify right side
    9,600.50x = 38,531,254.20
  5. Step 5: Solve for x
    x = 38,531,254.20/9,600.50
  6. Step 6: Final answer
    x = 4,013.46

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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.