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Finding the Fourth Proportional to 6,172.80, 8,509.68 and 3,813.60

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Solution

The fourth proportional to 6,172.80, 8,509.68 and 3,813.60 is: 5,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.80 : 8,509.68 = 3,813.60 : x
  2. Step 2: Convert to fraction form
    6,172.80/8,509.68 = 3,813.60/x
  3. Step 3: Cross multiply
    6,172.80x = 8,509.68 × 3,813.60
  4. Step 4: Simplify right side
    6,172.80x = 32,452,515.65
  5. Step 5: Solve for x
    x = 32,452,515.65/6,172.80
  6. Step 6: Final answer
    x = 5,257.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.