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Finding the Fourth Proportional to 9,504.27, 13,114.89 and 5,524.56

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Solution

The fourth proportional to 9,504.27, 13,114.89 and 5,524.56 is: 7,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.27 : 13,114.89 = 5,524.56 : x
  2. Step 2: Convert to fraction form
    9,504.27/13,114.89 = 5,524.56/x
  3. Step 3: Cross multiply
    9,504.27x = 13,114.89 × 5,524.56
  4. Step 4: Simplify right side
    9,504.27x = 72,453,996.70
  5. Step 5: Solve for x
    x = 72,453,996.70/9,504.27
  6. Step 6: Final answer
    x = 7,623.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.