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Finding the Fourth Proportional to 6,075.94, 9,093.33 and 3,737.43

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Solution

The fourth proportional to 6,075.94, 9,093.33 and 3,737.43 is: 5,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.94 : 9,093.33 = 3,737.43 : x
  2. Step 2: Convert to fraction form
    6,075.94/9,093.33 = 3,737.43/x
  3. Step 3: Cross multiply
    6,075.94x = 9,093.33 × 3,737.43
  4. Step 4: Simplify right side
    6,075.94x = 33,985,684.34
  5. Step 5: Solve for x
    x = 33,985,684.34/6,075.94
  6. Step 6: Final answer
    x = 5,593.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.