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Finding the Fourth Proportional to 6,728.23, 10,090.99 and 6,394.80

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Solution

The fourth proportional to 6,728.23, 10,090.99 and 6,394.80 is: 9,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.23 : 10,090.99 = 6,394.80 : x
  2. Step 2: Convert to fraction form
    6,728.23/10,090.99 = 6,394.80/x
  3. Step 3: Cross multiply
    6,728.23x = 10,090.99 × 6,394.80
  4. Step 4: Simplify right side
    6,728.23x = 64,529,862.85
  5. Step 5: Solve for x
    x = 64,529,862.85/6,728.23
  6. Step 6: Final answer
    x = 9,590.91

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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.