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Finding the Fourth Proportional to 6,744.43, 9,307.27 and 3,760.22

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Solution

The fourth proportional to 6,744.43, 9,307.27 and 3,760.22 is: 5,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.43 : 9,307.27 = 3,760.22 : x
  2. Step 2: Convert to fraction form
    6,744.43/9,307.27 = 3,760.22/x
  3. Step 3: Cross multiply
    6,744.43x = 9,307.27 × 3,760.22
  4. Step 4: Simplify right side
    6,744.43x = 34,997,410.77
  5. Step 5: Solve for x
    x = 34,997,410.77/6,744.43
  6. Step 6: Final answer
    x = 5,189.08

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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.