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Finding the Fourth Proportional to 6,817.34, 9,408.02 and 3,833

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Solution

The fourth proportional to 6,817.34, 9,408.02 and 3,833 is: 5,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.34 : 9,408.02 = 3,833 : x
  2. Step 2: Convert to fraction form
    6,817.34/9,408.02 = 3,833/x
  3. Step 3: Cross multiply
    6,817.34x = 9,408.02 × 3,833
  4. Step 4: Simplify right side
    6,817.34x = 36,060,940.66
  5. Step 5: Solve for x
    x = 36,060,940.66/6,817.34
  6. Step 6: Final answer
    x = 5,289.59

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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.