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Finding the Fourth Proportional to 6,745.68, 9,308.69 and 3,760.93

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Solution

The fourth proportional to 6,745.68, 9,308.69 and 3,760.93 is: 5,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.68 : 9,308.69 = 3,760.93 : x
  2. Step 2: Convert to fraction form
    6,745.68/9,308.69 = 3,760.93/x
  3. Step 3: Cross multiply
    6,745.68x = 9,308.69 × 3,760.93
  4. Step 4: Simplify right side
    6,745.68x = 35,009,338.42
  5. Step 5: Solve for x
    x = 35,009,338.42/6,745.68
  6. Step 6: Final answer
    x = 5,189.89

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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.