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Finding the Fourth Proportional to 9,075.64, 13,611.60 and 2,834.80

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Solution

The fourth proportional to 9,075.64, 13,611.60 and 2,834.80 is: 4,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.64 : 13,611.60 = 2,834.80 : x
  2. Step 2: Convert to fraction form
    9,075.64/13,611.60 = 2,834.80/x
  3. Step 3: Cross multiply
    9,075.64x = 13,611.60 × 2,834.80
  4. Step 4: Simplify right side
    9,075.64x = 38,586,163.68
  5. Step 5: Solve for x
    x = 38,586,163.68/9,075.64
  6. Step 6: Final answer
    x = 4,251.62

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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.