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Finding the Fourth Proportional to 9,632.40, 14,434.20 and 8,163.60

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Solution

The fourth proportional to 9,632.40, 14,434.20 and 8,163.60 is: 12,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.40 : 14,434.20 = 8,163.60 : x
  2. Step 2: Convert to fraction form
    9,632.40/14,434.20 = 8,163.60/x
  3. Step 3: Cross multiply
    9,632.40x = 14,434.20 × 8,163.60
  4. Step 4: Simplify right side
    9,632.40x = 117,835,035.12
  5. Step 5: Solve for x
    x = 117,835,035.12/9,632.40
  6. Step 6: Final answer
    x = 12,233.20

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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.