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Finding the Fourth Proportional to 6,817.96, 9,406.10 and 5,029.73

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Solution

The fourth proportional to 6,817.96, 9,406.10 and 5,029.73 is: 6,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.96 : 9,406.10 = 5,029.73 : x
  2. Step 2: Convert to fraction form
    6,817.96/9,406.10 = 5,029.73/x
  3. Step 3: Cross multiply
    6,817.96x = 9,406.10 × 5,029.73
  4. Step 4: Simplify right side
    6,817.96x = 47,310,143.35
  5. Step 5: Solve for x
    x = 47,310,143.35/6,817.96
  6. Step 6: Final answer
    x = 6,939.05

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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.