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Finding the Fourth Proportional to 6,299.97, 8,694.45 and 4,313.22

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Solution

The fourth proportional to 6,299.97, 8,694.45 and 4,313.22 is: 5,952.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.97 : 8,694.45 = 4,313.22 : x
  2. Step 2: Convert to fraction form
    6,299.97/8,694.45 = 4,313.22/x
  3. Step 3: Cross multiply
    6,299.97x = 8,694.45 × 4,313.22
  4. Step 4: Simplify right side
    6,299.97x = 37,501,075.63
  5. Step 5: Solve for x
    x = 37,501,075.63/6,299.97
  6. Step 6: Final answer
    x = 5,952.58

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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.