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Finding the Fourth Proportional to 8,917.96, 13,375.12 and 3,075

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Solution

The fourth proportional to 8,917.96, 13,375.12 and 3,075 is: 4,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.96 : 13,375.12 = 3,075 : x
  2. Step 2: Convert to fraction form
    8,917.96/13,375.12 = 3,075/x
  3. Step 3: Cross multiply
    8,917.96x = 13,375.12 × 3,075
  4. Step 4: Simplify right side
    8,917.96x = 41,128,494
  5. Step 5: Solve for x
    x = 41,128,494/8,917.96
  6. Step 6: Final answer
    x = 4,611.87

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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.