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Finding the Fourth Proportional to 6,075.98, 9,093.34 and 3,737.44

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Solution

The fourth proportional to 6,075.98, 9,093.34 and 3,737.44 is: 5,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.98 : 9,093.34 = 3,737.44 : x
  2. Step 2: Convert to fraction form
    6,075.98/9,093.34 = 3,737.44/x
  3. Step 3: Cross multiply
    6,075.98x = 9,093.34 × 3,737.44
  4. Step 4: Simplify right side
    6,075.98x = 33,985,812.65
  5. Step 5: Solve for x
    x = 33,985,812.65/6,075.98
  6. Step 6: Final answer
    x = 5,593.47

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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.