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Finding the Fourth Proportional to 6,353.82, 9,532.66 and 3,066.30

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Solution

The fourth proportional to 6,353.82, 9,532.66 and 3,066.30 is: 4,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.82 : 9,532.66 = 3,066.30 : x
  2. Step 2: Convert to fraction form
    6,353.82/9,532.66 = 3,066.30/x
  3. Step 3: Cross multiply
    6,353.82x = 9,532.66 × 3,066.30
  4. Step 4: Simplify right side
    6,353.82x = 29,229,995.36
  5. Step 5: Solve for x
    x = 29,229,995.36/6,353.82
  6. Step 6: Final answer
    x = 4,600.38

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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.