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Finding the Fourth Proportional to 6,137.73, 8,470.06 and 3,343.23

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Solution

The fourth proportional to 6,137.73, 8,470.06 and 3,343.23 is: 4,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.73 : 8,470.06 = 3,343.23 : x
  2. Step 2: Convert to fraction form
    6,137.73/8,470.06 = 3,343.23/x
  3. Step 3: Cross multiply
    6,137.73x = 8,470.06 × 3,343.23
  4. Step 4: Simplify right side
    6,137.73x = 28,317,350.34
  5. Step 5: Solve for x
    x = 28,317,350.34/6,137.73
  6. Step 6: Final answer
    x = 4,613.65

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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.