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Finding the Fourth Proportional to 9,330, 13,995.12 and 3,174

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Solution

The fourth proportional to 9,330, 13,995.12 and 3,174 is: 4,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330 : 13,995.12 = 3,174 : x
  2. Step 2: Convert to fraction form
    9,330/13,995.12 = 3,174/x
  3. Step 3: Cross multiply
    9,330x = 13,995.12 × 3,174
  4. Step 4: Simplify right side
    9,330x = 44,420,510.88
  5. Step 5: Solve for x
    x = 44,420,510.88/9,330
  6. Step 6: Final answer
    x = 4,761.04

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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.