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Finding the Fourth Proportional to 6,619, 9,138.51 and 4,103.79

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Solution

The fourth proportional to 6,619, 9,138.51 and 4,103.79 is: 5,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619 : 9,138.51 = 4,103.79 : x
  2. Step 2: Convert to fraction form
    6,619/9,138.51 = 4,103.79/x
  3. Step 3: Cross multiply
    6,619x = 9,138.51 × 4,103.79
  4. Step 4: Simplify right side
    6,619x = 37,502,505.43
  5. Step 5: Solve for x
    x = 37,502,505.43/6,619
  6. Step 6: Final answer
    x = 5,665.89

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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.