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Finding the Fourth Proportional to 6,179.78, 9,269.70 and 2,075.78

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Solution

The fourth proportional to 6,179.78, 9,269.70 and 2,075.78 is: 3,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.78 : 9,269.70 = 2,075.78 : x
  2. Step 2: Convert to fraction form
    6,179.78/9,269.70 = 2,075.78/x
  3. Step 3: Cross multiply
    6,179.78x = 9,269.70 × 2,075.78
  4. Step 4: Simplify right side
    6,179.78x = 19,241,857.87
  5. Step 5: Solve for x
    x = 19,241,857.87/6,179.78
  6. Step 6: Final answer
    x = 3,113.68

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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.