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Finding the Fourth Proportional to 6,136.83, 9,205.67 and 1,754.32

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Solution

The fourth proportional to 6,136.83, 9,205.67 and 1,754.32 is: 2,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.83 : 9,205.67 = 1,754.32 : x
  2. Step 2: Convert to fraction form
    6,136.83/9,205.67 = 1,754.32/x
  3. Step 3: Cross multiply
    6,136.83x = 9,205.67 × 1,754.32
  4. Step 4: Simplify right side
    6,136.83x = 16,149,690.99
  5. Step 5: Solve for x
    x = 16,149,690.99/6,136.83
  6. Step 6: Final answer
    x = 2,631.60

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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.