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Finding the Fourth Proportional to 6,943.46, 9,582.89 and 3,919.19

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Solution

The fourth proportional to 6,943.46, 9,582.89 and 3,919.19 is: 5,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.46 : 9,582.89 = 3,919.19 : x
  2. Step 2: Convert to fraction form
    6,943.46/9,582.89 = 3,919.19/x
  3. Step 3: Cross multiply
    6,943.46x = 9,582.89 × 3,919.19
  4. Step 4: Simplify right side
    6,943.46x = 37,557,099.15
  5. Step 5: Solve for x
    x = 37,557,099.15/6,943.46
  6. Step 6: Final answer
    x = 5,408.99

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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.