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Finding the Fourth Proportional to 6,745.01, 9,307.68 and 3,760.67

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Solution

The fourth proportional to 6,745.01, 9,307.68 and 3,760.67 is: 5,189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.01 : 9,307.68 = 3,760.67 : x
  2. Step 2: Convert to fraction form
    6,745.01/9,307.68 = 3,760.67/x
  3. Step 3: Cross multiply
    6,745.01x = 9,307.68 × 3,760.67
  4. Step 4: Simplify right side
    6,745.01x = 35,003,136.21
  5. Step 5: Solve for x
    x = 35,003,136.21/6,745.01
  6. Step 6: Final answer
    x = 5,189.48

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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.