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Finding the Fourth Proportional to 6,304.78, 9,457.68 and 2,143.12

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Solution

The fourth proportional to 6,304.78, 9,457.68 and 2,143.12 is: 3,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.78 : 9,457.68 = 2,143.12 : x
  2. Step 2: Convert to fraction form
    6,304.78/9,457.68 = 2,143.12/x
  3. Step 3: Cross multiply
    6,304.78x = 9,457.68 × 2,143.12
  4. Step 4: Simplify right side
    6,304.78x = 20,268,943.16
  5. Step 5: Solve for x
    x = 20,268,943.16/6,304.78
  6. Step 6: Final answer
    x = 3,214.85

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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.