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Finding the Fourth Proportional to 6,647.46, 9,173.15 and 3,662.81

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Solution

The fourth proportional to 6,647.46, 9,173.15 and 3,662.81 is: 5,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.46 : 9,173.15 = 3,662.81 : x
  2. Step 2: Convert to fraction form
    6,647.46/9,173.15 = 3,662.81/x
  3. Step 3: Cross multiply
    6,647.46x = 9,173.15 × 3,662.81
  4. Step 4: Simplify right side
    6,647.46x = 33,599,459.69
  5. Step 5: Solve for x
    x = 33,599,459.69/6,647.46
  6. Step 6: Final answer
    x = 5,054.48

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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.