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Finding the Fourth Proportional to 6,414.39, 9,630.63 and 3,646.62

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Solution

The fourth proportional to 6,414.39, 9,630.63 and 3,646.62 is: 5,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.39 : 9,630.63 = 3,646.62 : x
  2. Step 2: Convert to fraction form
    6,414.39/9,630.63 = 3,646.62/x
  3. Step 3: Cross multiply
    6,414.39x = 9,630.63 × 3,646.62
  4. Step 4: Simplify right side
    6,414.39x = 35,119,247.97
  5. Step 5: Solve for x
    x = 35,119,247.97/6,414.39
  6. Step 6: Final answer
    x = 5,475.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.