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Finding the Fourth Proportional to 9,262.08, 13,891.70 and 3,022.08

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Solution

The fourth proportional to 9,262.08, 13,891.70 and 3,022.08 is: 4,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.08 : 13,891.70 = 3,022.08 : x
  2. Step 2: Convert to fraction form
    9,262.08/13,891.70 = 3,022.08/x
  3. Step 3: Cross multiply
    9,262.08x = 13,891.70 × 3,022.08
  4. Step 4: Simplify right side
    9,262.08x = 41,981,828.74
  5. Step 5: Solve for x
    x = 41,981,828.74/9,262.08
  6. Step 6: Final answer
    x = 4,532.66

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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.