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Finding the Fourth Proportional to 9,546.96, 14,324.22 and 3,705.24

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Solution

The fourth proportional to 9,546.96, 14,324.22 and 3,705.24 is: 5,559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.96 : 14,324.22 = 3,705.24 : x
  2. Step 2: Convert to fraction form
    9,546.96/14,324.22 = 3,705.24/x
  3. Step 3: Cross multiply
    9,546.96x = 14,324.22 × 3,705.24
  4. Step 4: Simplify right side
    9,546.96x = 53,074,672.91
  5. Step 5: Solve for x
    x = 53,074,672.91/9,546.96
  6. Step 6: Final answer
    x = 5,559.33

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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.