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Finding the Fourth Proportional to 6,728.09, 9,284.09 and 4,075.34

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Solution

The fourth proportional to 6,728.09, 9,284.09 and 4,075.34 is: 5,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.09 : 9,284.09 = 4,075.34 : x
  2. Step 2: Convert to fraction form
    6,728.09/9,284.09 = 4,075.34/x
  3. Step 3: Cross multiply
    6,728.09x = 9,284.09 × 4,075.34
  4. Step 4: Simplify right side
    6,728.09x = 37,835,756.54
  5. Step 5: Solve for x
    x = 37,835,756.54/6,728.09
  6. Step 6: Final answer
    x = 5,623.56

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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.