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Finding the Fourth Proportional to 6,576.36, 9,075.86 and 3,744.65

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Solution

The fourth proportional to 6,576.36, 9,075.86 and 3,744.65 is: 5,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.36 : 9,075.86 = 3,744.65 : x
  2. Step 2: Convert to fraction form
    6,576.36/9,075.86 = 3,744.65/x
  3. Step 3: Cross multiply
    6,576.36x = 9,075.86 × 3,744.65
  4. Step 4: Simplify right side
    6,576.36x = 33,985,855.05
  5. Step 5: Solve for x
    x = 33,985,855.05/6,576.36
  6. Step 6: Final answer
    x = 5,167.89

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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.