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Finding the Fourth Proportional to 6,982.44, 9,637.43 and 3,999.99

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Solution

The fourth proportional to 6,982.44, 9,637.43 and 3,999.99 is: 5,520.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.44 : 9,637.43 = 3,999.99 : x
  2. Step 2: Convert to fraction form
    6,982.44/9,637.43 = 3,999.99/x
  3. Step 3: Cross multiply
    6,982.44x = 9,637.43 × 3,999.99
  4. Step 4: Simplify right side
    6,982.44x = 38,549,623.63
  5. Step 5: Solve for x
    x = 38,549,623.63/6,982.44
  6. Step 6: Final answer
    x = 5,520.94

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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.