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Finding the Fourth Proportional to 6,090.77, 9,138.67 and 2,195.57

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Solution

The fourth proportional to 6,090.77, 9,138.67 and 2,195.57 is: 3,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.77 : 9,138.67 = 2,195.57 : x
  2. Step 2: Convert to fraction form
    6,090.77/9,138.67 = 2,195.57/x
  3. Step 3: Cross multiply
    6,090.77x = 9,138.67 × 2,195.57
  4. Step 4: Simplify right side
    6,090.77x = 20,064,589.69
  5. Step 5: Solve for x
    x = 20,064,589.69/6,090.77
  6. Step 6: Final answer
    x = 3,294.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.