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Finding the Fourth Proportional to 6,749.14, 9,314.00 and 3,764.90

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Solution

The fourth proportional to 6,749.14, 9,314.00 and 3,764.90 is: 5,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.14 : 9,314.00 = 3,764.90 : x
  2. Step 2: Convert to fraction form
    6,749.14/9,314.00 = 3,764.90/x
  3. Step 3: Cross multiply
    6,749.14x = 9,314.00 × 3,764.90
  4. Step 4: Simplify right side
    6,749.14x = 35,066,311.30
  5. Step 5: Solve for x
    x = 35,066,311.30/6,749.14
  6. Step 6: Final answer
    x = 5,195.67

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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.