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Finding the Fourth Proportional to 6,823.94, 9,414.59 and 3,990.30

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Solution

The fourth proportional to 6,823.94, 9,414.59 and 3,990.30 is: 5,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.94 : 9,414.59 = 3,990.30 : x
  2. Step 2: Convert to fraction form
    6,823.94/9,414.59 = 3,990.30/x
  3. Step 3: Cross multiply
    6,823.94x = 9,414.59 × 3,990.30
  4. Step 4: Simplify right side
    6,823.94x = 37,567,018.53
  5. Step 5: Solve for x
    x = 37,567,018.53/6,823.94
  6. Step 6: Final answer
    x = 5,505.18

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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.