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Finding the Fourth Proportional to 6,453.46, 9,680.73 and 3,332.26

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Solution

The fourth proportional to 6,453.46, 9,680.73 and 3,332.26 is: 4,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.46 : 9,680.73 = 3,332.26 : x
  2. Step 2: Convert to fraction form
    6,453.46/9,680.73 = 3,332.26/x
  3. Step 3: Cross multiply
    6,453.46x = 9,680.73 × 3,332.26
  4. Step 4: Simplify right side
    6,453.46x = 32,258,709.35
  5. Step 5: Solve for x
    x = 32,258,709.35/6,453.46
  6. Step 6: Final answer
    x = 4,998.67

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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.