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Finding the Fourth Proportional to 6,832.33, 9,430.98 and 4,000.62

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Solution

The fourth proportional to 6,832.33, 9,430.98 and 4,000.62 is: 5,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.33 : 9,430.98 = 4,000.62 : x
  2. Step 2: Convert to fraction form
    6,832.33/9,430.98 = 4,000.62/x
  3. Step 3: Cross multiply
    6,832.33x = 9,430.98 × 4,000.62
  4. Step 4: Simplify right side
    6,832.33x = 37,729,713.62
  5. Step 5: Solve for x
    x = 37,729,713.62/6,832.33
  6. Step 6: Final answer
    x = 5,522.23

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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.