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Finding the Fourth Proportional to 6,047.09, 9,006.82 and 5,777.21

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Solution

The fourth proportional to 6,047.09, 9,006.82 and 5,777.21 is: 8,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.09 : 9,006.82 = 5,777.21 : x
  2. Step 2: Convert to fraction form
    6,047.09/9,006.82 = 5,777.21/x
  3. Step 3: Cross multiply
    6,047.09x = 9,006.82 × 5,777.21
  4. Step 4: Simplify right side
    6,047.09x = 52,034,290.57
  5. Step 5: Solve for x
    x = 52,034,290.57/6,047.09
  6. Step 6: Final answer
    x = 8,604.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.