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Finding the Fourth Proportional to 6,814.52, 9,403.04 and 3,982.16

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Solution

The fourth proportional to 6,814.52, 9,403.04 and 3,982.16 is: 5,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.52 : 9,403.04 = 3,982.16 : x
  2. Step 2: Convert to fraction form
    6,814.52/9,403.04 = 3,982.16/x
  3. Step 3: Cross multiply
    6,814.52x = 9,403.04 × 3,982.16
  4. Step 4: Simplify right side
    6,814.52x = 37,444,342.84
  5. Step 5: Solve for x
    x = 37,444,342.84/6,814.52
  6. Step 6: Final answer
    x = 5,494.79

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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.