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Finding the Fourth Proportional to 9,474.57, 13,074.70 and 5,496.05

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Solution

The fourth proportional to 9,474.57, 13,074.70 and 5,496.05 is: 7,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.57 : 13,074.70 = 5,496.05 : x
  2. Step 2: Convert to fraction form
    9,474.57/13,074.70 = 5,496.05/x
  3. Step 3: Cross multiply
    9,474.57x = 13,074.70 × 5,496.05
  4. Step 4: Simplify right side
    9,474.57x = 71,859,204.94
  5. Step 5: Solve for x
    x = 71,859,204.94/9,474.57
  6. Step 6: Final answer
    x = 7,584.43

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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.