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Finding the Fourth Proportional to 6,814.39, 9,403.90 and 3,943.05

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Solution

The fourth proportional to 6,814.39, 9,403.90 and 3,943.05 is: 5,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.39 : 9,403.90 = 3,943.05 : x
  2. Step 2: Convert to fraction form
    6,814.39/9,403.90 = 3,943.05/x
  3. Step 3: Cross multiply
    6,814.39x = 9,403.90 × 3,943.05
  4. Step 4: Simplify right side
    6,814.39x = 37,080,038.04
  5. Step 5: Solve for x
    x = 37,080,038.04/6,814.39
  6. Step 6: Final answer
    x = 5,441.43

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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.