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Finding the Fourth Proportional to 9,852.43, 13,601.37 and 7,609.27

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Solution

The fourth proportional to 9,852.43, 13,601.37 and 7,609.27 is: 10,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.43 : 13,601.37 = 7,609.27 : x
  2. Step 2: Convert to fraction form
    9,852.43/13,601.37 = 7,609.27/x
  3. Step 3: Cross multiply
    9,852.43x = 13,601.37 × 7,609.27
  4. Step 4: Simplify right side
    9,852.43x = 103,496,496.70
  5. Step 5: Solve for x
    x = 103,496,496.70/9,852.43
  6. Step 6: Final answer
    x = 10,504.67

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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.