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Finding the Fourth Proportional to 6,336.63, 8,743.68 and 3,946.95

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Solution

The fourth proportional to 6,336.63, 8,743.68 and 3,946.95 is: 5,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.63 : 8,743.68 = 3,946.95 : x
  2. Step 2: Convert to fraction form
    6,336.63/8,743.68 = 3,946.95/x
  3. Step 3: Cross multiply
    6,336.63x = 8,743.68 × 3,946.95
  4. Step 4: Simplify right side
    6,336.63x = 34,510,867.78
  5. Step 5: Solve for x
    x = 34,510,867.78/6,336.63
  6. Step 6: Final answer
    x = 5,446.25

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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.