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Finding the Fourth Proportional to 6,578.36, 9,075.14 and 3,924.80

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Solution

The fourth proportional to 6,578.36, 9,075.14 and 3,924.80 is: 5,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.36 : 9,075.14 = 3,924.80 : x
  2. Step 2: Convert to fraction form
    6,578.36/9,075.14 = 3,924.80/x
  3. Step 3: Cross multiply
    6,578.36x = 9,075.14 × 3,924.80
  4. Step 4: Simplify right side
    6,578.36x = 35,618,093.22
  5. Step 5: Solve for x
    x = 35,618,093.22/6,578.36
  6. Step 6: Final answer
    x = 5,414.43

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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.