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Finding the Fourth Proportional to 6,277.69, 9,418.83 and 2,578.92

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Solution

The fourth proportional to 6,277.69, 9,418.83 and 2,578.92 is: 3,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.69 : 9,418.83 = 2,578.92 : x
  2. Step 2: Convert to fraction form
    6,277.69/9,418.83 = 2,578.92/x
  3. Step 3: Cross multiply
    6,277.69x = 9,418.83 × 2,578.92
  4. Step 4: Simplify right side
    6,277.69x = 24,290,409.06
  5. Step 5: Solve for x
    x = 24,290,409.06/6,277.69
  6. Step 6: Final answer
    x = 3,869.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.