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Finding the Fourth Proportional to 6,064.82, 9,097.23 and 1,682.28

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Solution

The fourth proportional to 6,064.82, 9,097.23 and 1,682.28 is: 2,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.82 : 9,097.23 = 1,682.28 : x
  2. Step 2: Convert to fraction form
    6,064.82/9,097.23 = 1,682.28/x
  3. Step 3: Cross multiply
    6,064.82x = 9,097.23 × 1,682.28
  4. Step 4: Simplify right side
    6,064.82x = 15,304,087.41
  5. Step 5: Solve for x
    x = 15,304,087.41/6,064.82
  6. Step 6: Final answer
    x = 2,523.42

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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.