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Finding the Fourth Proportional to 9,636.54, 14,450.37 and 3,628.38

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Solution

The fourth proportional to 9,636.54, 14,450.37 and 3,628.38 is: 5,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.54 : 14,450.37 = 3,628.38 : x
  2. Step 2: Convert to fraction form
    9,636.54/14,450.37 = 3,628.38/x
  3. Step 3: Cross multiply
    9,636.54x = 14,450.37 × 3,628.38
  4. Step 4: Simplify right side
    9,636.54x = 52,431,433.50
  5. Step 5: Solve for x
    x = 52,431,433.50/9,636.54
  6. Step 6: Final answer
    x = 5,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.