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Finding the Fourth Proportional to 6,233.63, 9,354.51 and 2,947.05

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Solution

The fourth proportional to 6,233.63, 9,354.51 and 2,947.05 is: 4,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.63 : 9,354.51 = 2,947.05 : x
  2. Step 2: Convert to fraction form
    6,233.63/9,354.51 = 2,947.05/x
  3. Step 3: Cross multiply
    6,233.63x = 9,354.51 × 2,947.05
  4. Step 4: Simplify right side
    6,233.63x = 27,568,208.70
  5. Step 5: Solve for x
    x = 27,568,208.70/6,233.63
  6. Step 6: Final answer
    x = 4,422.50

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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.