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Finding the Fourth Proportional to 9,512, 14,267.73 and 2,937.23

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Solution

The fourth proportional to 9,512, 14,267.73 and 2,937.23 is: 4,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512 : 14,267.73 = 2,937.23 : x
  2. Step 2: Convert to fraction form
    9,512/14,267.73 = 2,937.23/x
  3. Step 3: Cross multiply
    9,512x = 14,267.73 × 2,937.23
  4. Step 4: Simplify right side
    9,512x = 41,907,604.59
  5. Step 5: Solve for x
    x = 41,907,604.59/9,512
  6. Step 6: Final answer
    x = 4,405.76

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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.