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Finding the Fourth Proportional to 6,137.97, 8,470.33 and 3,343.47

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Solution

The fourth proportional to 6,137.97, 8,470.33 and 3,343.47 is: 4,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.97 : 8,470.33 = 3,343.47 : x
  2. Step 2: Convert to fraction form
    6,137.97/8,470.33 = 3,343.47/x
  3. Step 3: Cross multiply
    6,137.97x = 8,470.33 × 3,343.47
  4. Step 4: Simplify right side
    6,137.97x = 28,320,294.25
  5. Step 5: Solve for x
    x = 28,320,294.25/6,137.97
  6. Step 6: Final answer
    x = 4,613.95

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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.