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Finding the Fourth Proportional to 6,205.21, 9,313.07 and 2,698.02

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Solution

The fourth proportional to 6,205.21, 9,313.07 and 2,698.02 is: 4,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.21 : 9,313.07 = 2,698.02 : x
  2. Step 2: Convert to fraction form
    6,205.21/9,313.07 = 2,698.02/x
  3. Step 3: Cross multiply
    6,205.21x = 9,313.07 × 2,698.02
  4. Step 4: Simplify right side
    6,205.21x = 25,126,849.12
  5. Step 5: Solve for x
    x = 25,126,849.12/6,205.21
  6. Step 6: Final answer
    x = 4,049.31

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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.