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Finding the Fourth Proportional to 6,441.49, 9,661.93 and 3,774.57

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Solution

The fourth proportional to 6,441.49, 9,661.93 and 3,774.57 is: 5,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.49 : 9,661.93 = 3,774.57 : x
  2. Step 2: Convert to fraction form
    6,441.49/9,661.93 = 3,774.57/x
  3. Step 3: Cross multiply
    6,441.49x = 9,661.93 × 3,774.57
  4. Step 4: Simplify right side
    6,441.49x = 36,469,606.68
  5. Step 5: Solve for x
    x = 36,469,606.68/6,441.49
  6. Step 6: Final answer
    x = 5,661.67

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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.