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Finding the Fourth Proportional to 9,680.75, 13,334.02 and 7,438.37

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Solution

The fourth proportional to 9,680.75, 13,334.02 and 7,438.37 is: 10,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.75 : 13,334.02 = 7,438.37 : x
  2. Step 2: Convert to fraction form
    9,680.75/13,334.02 = 7,438.37/x
  3. Step 3: Cross multiply
    9,680.75x = 13,334.02 × 7,438.37
  4. Step 4: Simplify right side
    9,680.75x = 99,183,289.08
  5. Step 5: Solve for x
    x = 99,183,289.08/9,680.75
  6. Step 6: Final answer
    x = 10,245.42

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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.