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Finding the Fourth Proportional to 6,765.20, 9,336.36 and 3,971.12

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Solution

The fourth proportional to 6,765.20, 9,336.36 and 3,971.12 is: 5,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.20 : 9,336.36 = 3,971.12 : x
  2. Step 2: Convert to fraction form
    6,765.20/9,336.36 = 3,971.12/x
  3. Step 3: Cross multiply
    6,765.20x = 9,336.36 × 3,971.12
  4. Step 4: Simplify right side
    6,765.20x = 37,075,805.92
  5. Step 5: Solve for x
    x = 37,075,805.92/6,765.20
  6. Step 6: Final answer
    x = 5,480.37

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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.