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Finding the Fourth Proportional to 6,137.76, 8,470.14 and 3,343.26

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Solution

The fourth proportional to 6,137.76, 8,470.14 and 3,343.26 is: 4,613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.76 : 8,470.14 = 3,343.26 : x
  2. Step 2: Convert to fraction form
    6,137.76/8,470.14 = 3,343.26/x
  3. Step 3: Cross multiply
    6,137.76x = 8,470.14 × 3,343.26
  4. Step 4: Simplify right side
    6,137.76x = 28,317,880.26
  5. Step 5: Solve for x
    x = 28,317,880.26/6,137.76
  6. Step 6: Final answer
    x = 4,613.72

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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.