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Finding the Fourth Proportional to 6,236.70, 8,609.46 and 4,113.49

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Solution

The fourth proportional to 6,236.70, 8,609.46 and 4,113.49 is: 5,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.70 : 8,609.46 = 4,113.49 : x
  2. Step 2: Convert to fraction form
    6,236.70/8,609.46 = 4,113.49/x
  3. Step 3: Cross multiply
    6,236.70x = 8,609.46 × 4,113.49
  4. Step 4: Simplify right side
    6,236.70x = 35,414,907.05
  5. Step 5: Solve for x
    x = 35,414,907.05/6,236.70
  6. Step 6: Final answer
    x = 5,678.47

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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.