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Finding the Fourth Proportional to 6,301.53, 9,458.14 and 3,183.74

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Solution

The fourth proportional to 6,301.53, 9,458.14 and 3,183.74 is: 4,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.53 : 9,458.14 = 3,183.74 : x
  2. Step 2: Convert to fraction form
    6,301.53/9,458.14 = 3,183.74/x
  3. Step 3: Cross multiply
    6,301.53x = 9,458.14 × 3,183.74
  4. Step 4: Simplify right side
    6,301.53x = 30,112,215.33
  5. Step 5: Solve for x
    x = 30,112,215.33/6,301.53
  6. Step 6: Final answer
    x = 4,778.55

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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.