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Finding the Fourth Proportional to 6,287.10, 9,423.76 and 3,162.12

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Solution

The fourth proportional to 6,287.10, 9,423.76 and 3,162.12 is: 4,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.10 : 9,423.76 = 3,162.12 : x
  2. Step 2: Convert to fraction form
    6,287.10/9,423.76 = 3,162.12/x
  3. Step 3: Cross multiply
    6,287.10x = 9,423.76 × 3,162.12
  4. Step 4: Simplify right side
    6,287.10x = 29,799,059.97
  5. Step 5: Solve for x
    x = 29,799,059.97/6,287.10
  6. Step 6: Final answer
    x = 4,739.71

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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.