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Finding the Fourth Proportional to 9,600.28, 14,373.66 and 4,910.20

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Solution

The fourth proportional to 9,600.28, 14,373.66 and 4,910.20 is: 7,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.28 : 14,373.66 = 4,910.20 : x
  2. Step 2: Convert to fraction form
    9,600.28/14,373.66 = 4,910.20/x
  3. Step 3: Cross multiply
    9,600.28x = 14,373.66 × 4,910.20
  4. Step 4: Simplify right side
    9,600.28x = 70,577,545.33
  5. Step 5: Solve for x
    x = 70,577,545.33/9,600.28
  6. Step 6: Final answer
    x = 7,351.61

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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.