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Finding the Fourth Proportional to 8,075.14, 12,099.92 and 6,230.77

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Solution

The fourth proportional to 8,075.14, 12,099.92 and 6,230.77 is: 9,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.14 : 12,099.92 = 6,230.77 : x
  2. Step 2: Convert to fraction form
    8,075.14/12,099.92 = 6,230.77/x
  3. Step 3: Cross multiply
    8,075.14x = 12,099.92 × 6,230.77
  4. Step 4: Simplify right side
    8,075.14x = 75,391,757.13
  5. Step 5: Solve for x
    x = 75,391,757.13/8,075.14
  6. Step 6: Final answer
    x = 9,336.28

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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.