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Finding the Fourth Proportional to 6,441.43, 9,646.30 and 3,143.89

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Solution

The fourth proportional to 6,441.43, 9,646.30 and 3,143.89 is: 4,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.43 : 9,646.30 = 3,143.89 : x
  2. Step 2: Convert to fraction form
    6,441.43/9,646.30 = 3,143.89/x
  3. Step 3: Cross multiply
    6,441.43x = 9,646.30 × 3,143.89
  4. Step 4: Simplify right side
    6,441.43x = 30,326,906.11
  5. Step 5: Solve for x
    x = 30,326,906.11/6,441.43
  6. Step 6: Final answer
    x = 4,708.10

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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.