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Finding the Fourth Proportional to 6,533.82, 9,022.84 and 4,549.82

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Solution

The fourth proportional to 6,533.82, 9,022.84 and 4,549.82 is: 6,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.82 : 9,022.84 = 4,549.82 : x
  2. Step 2: Convert to fraction form
    6,533.82/9,022.84 = 4,549.82/x
  3. Step 3: Cross multiply
    6,533.82x = 9,022.84 × 4,549.82
  4. Step 4: Simplify right side
    6,533.82x = 41,052,297.89
  5. Step 5: Solve for x
    x = 41,052,297.89/6,533.82
  6. Step 6: Final answer
    x = 6,283.05

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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.