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Finding the Fourth Proportional to 9,263.22, 13,891.34 and 3,021.76

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Solution

The fourth proportional to 9,263.22, 13,891.34 and 3,021.76 is: 4,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.22 : 13,891.34 = 3,021.76 : x
  2. Step 2: Convert to fraction form
    9,263.22/13,891.34 = 3,021.76/x
  3. Step 3: Cross multiply
    9,263.22x = 13,891.34 × 3,021.76
  4. Step 4: Simplify right side
    9,263.22x = 41,976,295.56
  5. Step 5: Solve for x
    x = 41,976,295.56/9,263.22
  6. Step 6: Final answer
    x = 4,531.50

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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.