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Finding the Fourth Proportional to 6,682.62, 9,204.91 and 5,619.20

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Solution

The fourth proportional to 6,682.62, 9,204.91 and 5,619.20 is: 7,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.62 : 9,204.91 = 5,619.20 : x
  2. Step 2: Convert to fraction form
    6,682.62/9,204.91 = 5,619.20/x
  3. Step 3: Cross multiply
    6,682.62x = 9,204.91 × 5,619.20
  4. Step 4: Simplify right side
    6,682.62x = 51,724,170.20
  5. Step 5: Solve for x
    x = 51,724,170.20/6,682.62
  6. Step 6: Final answer
    x = 7,740.10

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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.