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Finding the Fourth Proportional to 9,540.31, 14,310.30 and 2,614.81

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Solution

The fourth proportional to 9,540.31, 14,310.30 and 2,614.81 is: 3,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.31 : 14,310.30 = 2,614.81 : x
  2. Step 2: Convert to fraction form
    9,540.31/14,310.30 = 2,614.81/x
  3. Step 3: Cross multiply
    9,540.31x = 14,310.30 × 2,614.81
  4. Step 4: Simplify right side
    9,540.31x = 37,418,643.99
  5. Step 5: Solve for x
    x = 37,418,643.99/9,540.31
  6. Step 6: Final answer
    x = 3,922.16

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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.