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Finding the Fourth Proportional to 6,472.26, 8,934.66 and 4,234.26

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Solution

The fourth proportional to 6,472.26, 8,934.66 and 4,234.26 is: 5,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.26 : 8,934.66 = 4,234.26 : x
  2. Step 2: Convert to fraction form
    6,472.26/8,934.66 = 4,234.26/x
  3. Step 3: Cross multiply
    6,472.26x = 8,934.66 × 4,234.26
  4. Step 4: Simplify right side
    6,472.26x = 37,831,673.45
  5. Step 5: Solve for x
    x = 37,831,673.45/6,472.26
  6. Step 6: Final answer
    x = 5,845.20

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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.