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Finding the Fourth Proportional to 6,301.25, 9,457.72 and 3,183.46

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Solution

The fourth proportional to 6,301.25, 9,457.72 and 3,183.46 is: 4,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.25 : 9,457.72 = 3,183.46 : x
  2. Step 2: Convert to fraction form
    6,301.25/9,457.72 = 3,183.46/x
  3. Step 3: Cross multiply
    6,301.25x = 9,457.72 × 3,183.46
  4. Step 4: Simplify right side
    6,301.25x = 30,108,214.08
  5. Step 5: Solve for x
    x = 30,108,214.08/6,301.25
  6. Step 6: Final answer
    x = 4,778.13

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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.