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Finding the Fourth Proportional to 6,331.86, 8,740.29 and 3,814.08

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Solution

The fourth proportional to 6,331.86, 8,740.29 and 3,814.08 is: 5,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.86 : 8,740.29 = 3,814.08 : x
  2. Step 2: Convert to fraction form
    6,331.86/8,740.29 = 3,814.08/x
  3. Step 3: Cross multiply
    6,331.86x = 8,740.29 × 3,814.08
  4. Step 4: Simplify right side
    6,331.86x = 33,336,165.28
  5. Step 5: Solve for x
    x = 33,336,165.28/6,331.86
  6. Step 6: Final answer
    x = 5,264.83

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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.