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Finding the Fourth Proportional to 6,201.30, 9,302.73 and 2,041.80

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Solution

The fourth proportional to 6,201.30, 9,302.73 and 2,041.80 is: 3,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.30 : 9,302.73 = 2,041.80 : x
  2. Step 2: Convert to fraction form
    6,201.30/9,302.73 = 2,041.80/x
  3. Step 3: Cross multiply
    6,201.30x = 9,302.73 × 2,041.80
  4. Step 4: Simplify right side
    6,201.30x = 18,994,314.11
  5. Step 5: Solve for x
    x = 18,994,314.11/6,201.30
  6. Step 6: Final answer
    x = 3,062.96

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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.