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Finding the Fourth Proportional to 6,238.66, 9,349.78 and 2,536.54

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Solution

The fourth proportional to 6,238.66, 9,349.78 and 2,536.54 is: 3,801.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.66 : 9,349.78 = 2,536.54 : x
  2. Step 2: Convert to fraction form
    6,238.66/9,349.78 = 2,536.54/x
  3. Step 3: Cross multiply
    6,238.66x = 9,349.78 × 2,536.54
  4. Step 4: Simplify right side
    6,238.66x = 23,716,090.96
  5. Step 5: Solve for x
    x = 23,716,090.96/6,238.66
  6. Step 6: Final answer
    x = 3,801.47

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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.