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Finding the Fourth Proportional to 6,291.53, 9,434.81 and 2,287.97

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Solution

The fourth proportional to 6,291.53, 9,434.81 and 2,287.97 is: 3,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.53 : 9,434.81 = 2,287.97 : x
  2. Step 2: Convert to fraction form
    6,291.53/9,434.81 = 2,287.97/x
  3. Step 3: Cross multiply
    6,291.53x = 9,434.81 × 2,287.97
  4. Step 4: Simplify right side
    6,291.53x = 21,586,562.24
  5. Step 5: Solve for x
    x = 21,586,562.24/6,291.53
  6. Step 6: Final answer
    x = 3,431.05

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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.