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Finding the Fourth Proportional to 9,330, 13,995.27 and 2,404.50

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Solution

The fourth proportional to 9,330, 13,995.27 and 2,404.50 is: 3,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330 : 13,995.27 = 2,404.50 : x
  2. Step 2: Convert to fraction form
    9,330/13,995.27 = 2,404.50/x
  3. Step 3: Cross multiply
    9,330x = 13,995.27 × 2,404.50
  4. Step 4: Simplify right side
    9,330x = 33,651,626.72
  5. Step 5: Solve for x
    x = 33,651,626.72/9,330
  6. Step 6: Final answer
    x = 3,606.82

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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.