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Finding the Fourth Proportional to 6,739.62, 9,300.42 and 3,755.40

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Solution

The fourth proportional to 6,739.62, 9,300.42 and 3,755.40 is: 5,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.62 : 9,300.42 = 3,755.40 : x
  2. Step 2: Convert to fraction form
    6,739.62/9,300.42 = 3,755.40/x
  3. Step 3: Cross multiply
    6,739.62x = 9,300.42 × 3,755.40
  4. Step 4: Simplify right side
    6,739.62x = 34,926,797.27
  5. Step 5: Solve for x
    x = 34,926,797.27/6,739.62
  6. Step 6: Final answer
    x = 5,182.31

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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.