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Finding the Fourth Proportional to 6,005.49, 9,005.23 and 1,844.49

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Solution

The fourth proportional to 6,005.49, 9,005.23 and 1,844.49 is: 2,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.49 : 9,005.23 = 1,844.49 : x
  2. Step 2: Convert to fraction form
    6,005.49/9,005.23 = 1,844.49/x
  3. Step 3: Cross multiply
    6,005.49x = 9,005.23 × 1,844.49
  4. Step 4: Simplify right side
    6,005.49x = 16,610,056.68
  5. Step 5: Solve for x
    x = 16,610,056.68/6,005.49
  6. Step 6: Final answer
    x = 2,765.81

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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.