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Finding the Fourth Proportional to 9,747.69, 14,622.75 and 3,172.11

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Solution

The fourth proportional to 9,747.69, 14,622.75 and 3,172.11 is: 4,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.69 : 14,622.75 = 3,172.11 : x
  2. Step 2: Convert to fraction form
    9,747.69/14,622.75 = 3,172.11/x
  3. Step 3: Cross multiply
    9,747.69x = 14,622.75 × 3,172.11
  4. Step 4: Simplify right side
    9,747.69x = 46,384,971.50
  5. Step 5: Solve for x
    x = 46,384,971.50/9,747.69
  6. Step 6: Final answer
    x = 4,758.56

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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.