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Finding the Fourth Proportional to 6,208.09, 9,313.16 and 2,048.34

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Solution

The fourth proportional to 6,208.09, 9,313.16 and 2,048.34 is: 3,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.09 : 9,313.16 = 2,048.34 : x
  2. Step 2: Convert to fraction form
    6,208.09/9,313.16 = 2,048.34/x
  3. Step 3: Cross multiply
    6,208.09x = 9,313.16 × 2,048.34
  4. Step 4: Simplify right side
    6,208.09x = 19,076,518.15
  5. Step 5: Solve for x
    x = 19,076,518.15/6,208.09
  6. Step 6: Final answer
    x = 3,072.85

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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.