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Finding the Fourth Proportional to 9,632.15, 14,451.17 and 8,638.68

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Solution

The fourth proportional to 9,632.15, 14,451.17 and 8,638.68 is: 12,960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.15 : 14,451.17 = 8,638.68 : x
  2. Step 2: Convert to fraction form
    9,632.15/14,451.17 = 8,638.68/x
  3. Step 3: Cross multiply
    9,632.15x = 14,451.17 × 8,638.68
  4. Step 4: Simplify right side
    9,632.15x = 124,839,090.98
  5. Step 5: Solve for x
    x = 124,839,090.98/9,632.15
  6. Step 6: Final answer
    x = 12,960.67

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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.