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Finding the Fourth Proportional to 6,112.27, 8,433 and 4,223.96

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Solution

The fourth proportional to 6,112.27, 8,433 and 4,223.96 is: 5,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.27 : 8,433 = 4,223.96 : x
  2. Step 2: Convert to fraction form
    6,112.27/8,433 = 4,223.96/x
  3. Step 3: Cross multiply
    6,112.27x = 8,433 × 4,223.96
  4. Step 4: Simplify right side
    6,112.27x = 35,620,612.52
  5. Step 5: Solve for x
    x = 35,620,612.52/6,112.27
  6. Step 6: Final answer
    x = 5,827.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.