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Finding the Fourth Proportional to 6,940.19, 9,578.52 and 4,423.40

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Solution

The fourth proportional to 6,940.19, 9,578.52 and 4,423.40 is: 6,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.19 : 9,578.52 = 4,423.40 : x
  2. Step 2: Convert to fraction form
    6,940.19/9,578.52 = 4,423.40/x
  3. Step 3: Cross multiply
    6,940.19x = 9,578.52 × 4,423.40
  4. Step 4: Simplify right side
    6,940.19x = 42,369,625.37
  5. Step 5: Solve for x
    x = 42,369,625.37/6,940.19
  6. Step 6: Final answer
    x = 6,104.97

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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.