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Finding the Fourth Proportional to 6,935.75, 9,578.31 and 4,418.99

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Solution

The fourth proportional to 6,935.75, 9,578.31 and 4,418.99 is: 6,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.75 : 9,578.31 = 4,418.99 : x
  2. Step 2: Convert to fraction form
    6,935.75/9,578.31 = 4,418.99/x
  3. Step 3: Cross multiply
    6,935.75x = 9,578.31 × 4,418.99
  4. Step 4: Simplify right side
    6,935.75x = 42,326,456.11
  5. Step 5: Solve for x
    x = 42,326,456.11/6,935.75
  6. Step 6: Final answer
    x = 6,102.65

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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.