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Finding the Fourth Proportional to 6,380.06, 9,556.24 and 3,086.25

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Solution

The fourth proportional to 6,380.06, 9,556.24 and 3,086.25 is: 4,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.06 : 9,556.24 = 3,086.25 : x
  2. Step 2: Convert to fraction form
    6,380.06/9,556.24 = 3,086.25/x
  3. Step 3: Cross multiply
    6,380.06x = 9,556.24 × 3,086.25
  4. Step 4: Simplify right side
    6,380.06x = 29,492,921.81
  5. Step 5: Solve for x
    x = 29,492,921.81/6,380.06
  6. Step 6: Final answer
    x = 4,622.67

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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.