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Finding the Fourth Proportional to 6,745.60, 9,307.74 and 3,761.20

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Solution

The fourth proportional to 6,745.60, 9,307.74 and 3,761.20 is: 5,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.60 : 9,307.74 = 3,761.20 : x
  2. Step 2: Convert to fraction form
    6,745.60/9,307.74 = 3,761.20/x
  3. Step 3: Cross multiply
    6,745.60x = 9,307.74 × 3,761.20
  4. Step 4: Simplify right side
    6,745.60x = 35,008,271.69
  5. Step 5: Solve for x
    x = 35,008,271.69/6,745.60
  6. Step 6: Final answer
    x = 5,189.79

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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.