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Finding the Fourth Proportional to 6,128.63, 9,194.33 and 2,233

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Solution

The fourth proportional to 6,128.63, 9,194.33 and 2,233 is: 3,350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.63 : 9,194.33 = 2,233 : x
  2. Step 2: Convert to fraction form
    6,128.63/9,194.33 = 2,233/x
  3. Step 3: Cross multiply
    6,128.63x = 9,194.33 × 2,233
  4. Step 4: Simplify right side
    6,128.63x = 20,530,938.89
  5. Step 5: Solve for x
    x = 20,530,938.89/6,128.63
  6. Step 6: Final answer
    x = 3,350.00

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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.