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Finding the Fourth Proportional to 6,491.44, 9,738.37 and 3,028.69

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Solution

The fourth proportional to 6,491.44, 9,738.37 and 3,028.69 is: 4,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.44 : 9,738.37 = 3,028.69 : x
  2. Step 2: Convert to fraction form
    6,491.44/9,738.37 = 3,028.69/x
  3. Step 3: Cross multiply
    6,491.44x = 9,738.37 × 3,028.69
  4. Step 4: Simplify right side
    6,491.44x = 29,494,503.84
  5. Step 5: Solve for x
    x = 29,494,503.84/6,491.44
  6. Step 6: Final answer
    x = 4,543.60

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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.