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Finding the Fourth Proportional to 6,208.25, 9,313.13 and 2,049.00

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Solution

The fourth proportional to 6,208.25, 9,313.13 and 2,049.00 is: 3,073.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.25 : 9,313.13 = 2,049.00 : x
  2. Step 2: Convert to fraction form
    6,208.25/9,313.13 = 2,049.00/x
  3. Step 3: Cross multiply
    6,208.25x = 9,313.13 × 2,049.00
  4. Step 4: Simplify right side
    6,208.25x = 19,082,562.04
  5. Step 5: Solve for x
    x = 19,082,562.04/6,208.25
  6. Step 6: Final answer
    x = 3,073.75

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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.