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Finding the Fourth Proportional to 6,740.10, 9,301.22 and 3,755.87

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Solution

The fourth proportional to 6,740.10, 9,301.22 and 3,755.87 is: 5,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.10 : 9,301.22 = 3,755.87 : x
  2. Step 2: Convert to fraction form
    6,740.10/9,301.22 = 3,755.87/x
  3. Step 3: Cross multiply
    6,740.10x = 9,301.22 × 3,755.87
  4. Step 4: Simplify right side
    6,740.10x = 34,934,173.16
  5. Step 5: Solve for x
    x = 34,934,173.16/6,740.10
  6. Step 6: Final answer
    x = 5,183.03

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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.