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Finding the Fourth Proportional to 6,938.94, 9,578.85 and 4,424.42

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Solution

The fourth proportional to 6,938.94, 9,578.85 and 4,424.42 is: 6,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.94 : 9,578.85 = 4,424.42 : x
  2. Step 2: Convert to fraction form
    6,938.94/9,578.85 = 4,424.42/x
  3. Step 3: Cross multiply
    6,938.94x = 9,578.85 × 4,424.42
  4. Step 4: Simplify right side
    6,938.94x = 42,380,807.62
  5. Step 5: Solve for x
    x = 42,380,807.62/6,938.94
  6. Step 6: Final answer
    x = 6,107.68

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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.