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Finding the Fourth Proportional to 6,270.75, 9,404.97 and 2,321.40

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Solution

The fourth proportional to 6,270.75, 9,404.97 and 2,321.40 is: 3,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.75 : 9,404.97 = 2,321.40 : x
  2. Step 2: Convert to fraction form
    6,270.75/9,404.97 = 2,321.40/x
  3. Step 3: Cross multiply
    6,270.75x = 9,404.97 × 2,321.40
  4. Step 4: Simplify right side
    6,270.75x = 21,832,697.36
  5. Step 5: Solve for x
    x = 21,832,697.36/6,270.75
  6. Step 6: Final answer
    x = 3,481.67

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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.