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Finding the Fourth Proportional to 6,829.29, 9,423.64 and 3,845.05

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Solution

The fourth proportional to 6,829.29, 9,423.64 and 3,845.05 is: 5,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.29 : 9,423.64 = 3,845.05 : x
  2. Step 2: Convert to fraction form
    6,829.29/9,423.64 = 3,845.05/x
  3. Step 3: Cross multiply
    6,829.29x = 9,423.64 × 3,845.05
  4. Step 4: Simplify right side
    6,829.29x = 36,234,348.23
  5. Step 5: Solve for x
    x = 36,234,348.23/6,829.29
  6. Step 6: Final answer
    x = 5,305.73

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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.