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Finding the Fourth Proportional to 6,704.98, 9,246.44 and 4,015.77

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Solution

The fourth proportional to 6,704.98, 9,246.44 and 4,015.77 is: 5,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.98 : 9,246.44 = 4,015.77 : x
  2. Step 2: Convert to fraction form
    6,704.98/9,246.44 = 4,015.77/x
  3. Step 3: Cross multiply
    6,704.98x = 9,246.44 × 4,015.77
  4. Step 4: Simplify right side
    6,704.98x = 37,131,527.62
  5. Step 5: Solve for x
    x = 37,131,527.62/6,704.98
  6. Step 6: Final answer
    x = 5,537.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.