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Finding the Fourth Proportional to 6,003.09, 9,021.69 and 4,068.81

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Solution

The fourth proportional to 6,003.09, 9,021.69 and 4,068.81 is: 6,114.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.09 : 9,021.69 = 4,068.81 : x
  2. Step 2: Convert to fraction form
    6,003.09/9,021.69 = 4,068.81/x
  3. Step 3: Cross multiply
    6,003.09x = 9,021.69 × 4,068.81
  4. Step 4: Simplify right side
    6,003.09x = 36,707,542.49
  5. Step 5: Solve for x
    x = 36,707,542.49/6,003.09
  6. Step 6: Final answer
    x = 6,114.77

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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.