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Finding the Fourth Proportional to 6,265.71, 9,394.11 and 3,143.46

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Solution

The fourth proportional to 6,265.71, 9,394.11 and 3,143.46 is: 4,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.71 : 9,394.11 = 3,143.46 : x
  2. Step 2: Convert to fraction form
    6,265.71/9,394.11 = 3,143.46/x
  3. Step 3: Cross multiply
    6,265.71x = 9,394.11 × 3,143.46
  4. Step 4: Simplify right side
    6,265.71x = 29,530,009.02
  5. Step 5: Solve for x
    x = 29,530,009.02/6,265.71
  6. Step 6: Final answer
    x = 4,712.95

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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.