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Finding the Fourth Proportional to 6,466.61, 9,716.31 and 4,127.73

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Solution

The fourth proportional to 6,466.61, 9,716.31 and 4,127.73 is: 6,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.61 : 9,716.31 = 4,127.73 : x
  2. Step 2: Convert to fraction form
    6,466.61/9,716.31 = 4,127.73/x
  3. Step 3: Cross multiply
    6,466.61x = 9,716.31 × 4,127.73
  4. Step 4: Simplify right side
    6,466.61x = 40,106,304.28
  5. Step 5: Solve for x
    x = 40,106,304.28/6,466.61
  6. Step 6: Final answer
    x = 6,202.06

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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.