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Finding the Fourth Proportional to 9,596.44, 14,396.60 and 4,049.80

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Solution

The fourth proportional to 9,596.44, 14,396.60 and 4,049.80 is: 6,075.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.44 : 14,396.60 = 4,049.80 : x
  2. Step 2: Convert to fraction form
    9,596.44/14,396.60 = 4,049.80/x
  3. Step 3: Cross multiply
    9,596.44x = 14,396.60 × 4,049.80
  4. Step 4: Simplify right side
    9,596.44x = 58,303,350.68
  5. Step 5: Solve for x
    x = 58,303,350.68/9,596.44
  6. Step 6: Final answer
    x = 6,075.52

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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.