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Finding the Fourth Proportional to 6,892.38, 9,507.18 and 5,739.62

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Solution

The fourth proportional to 6,892.38, 9,507.18 and 5,739.62 is: 7,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.38 : 9,507.18 = 5,739.62 : x
  2. Step 2: Convert to fraction form
    6,892.38/9,507.18 = 5,739.62/x
  3. Step 3: Cross multiply
    6,892.38x = 9,507.18 × 5,739.62
  4. Step 4: Simplify right side
    6,892.38x = 54,567,600.47
  5. Step 5: Solve for x
    x = 54,567,600.47/6,892.38
  6. Step 6: Final answer
    x = 7,917.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.