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Finding the Fourth Proportional to 6,022.80, 9,053.64 and 5,993.64

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Solution

The fourth proportional to 6,022.80, 9,053.64 and 5,993.64 is: 9,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.80 : 9,053.64 = 5,993.64 : x
  2. Step 2: Convert to fraction form
    6,022.80/9,053.64 = 5,993.64/x
  3. Step 3: Cross multiply
    6,022.80x = 9,053.64 × 5,993.64
  4. Step 4: Simplify right side
    6,022.80x = 54,264,258.85
  5. Step 5: Solve for x
    x = 54,264,258.85/6,022.80
  6. Step 6: Final answer
    x = 9,009.81

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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.