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Finding the Fourth Proportional to 6,198.72, 9,276.45 and 5,075.16

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Solution

The fourth proportional to 6,198.72, 9,276.45 and 5,075.16 is: 7,595.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.72 : 9,276.45 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    6,198.72/9,276.45 = 5,075.16/x
  3. Step 3: Cross multiply
    6,198.72x = 9,276.45 × 5,075.16
  4. Step 4: Simplify right side
    6,198.72x = 47,079,467.98
  5. Step 5: Solve for x
    x = 47,079,467.98/6,198.72
  6. Step 6: Final answer
    x = 7,595.03

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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.