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Finding the Fourth Proportional to 6,477.31, 9,713.28 and 2,033.49

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Solution

The fourth proportional to 6,477.31, 9,713.28 and 2,033.49 is: 3,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.31 : 9,713.28 = 2,033.49 : x
  2. Step 2: Convert to fraction form
    6,477.31/9,713.28 = 2,033.49/x
  3. Step 3: Cross multiply
    6,477.31x = 9,713.28 × 2,033.49
  4. Step 4: Simplify right side
    6,477.31x = 19,751,857.75
  5. Step 5: Solve for x
    x = 19,751,857.75/6,477.31
  6. Step 6: Final answer
    x = 3,049.39

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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.