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Finding the Fourth Proportional to 7,019.21, 9,686.28 and 3,832.41

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Solution

The fourth proportional to 7,019.21, 9,686.28 and 3,832.41 is: 5,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019.21 : 9,686.28 = 3,832.41 : x
  2. Step 2: Convert to fraction form
    7,019.21/9,686.28 = 3,832.41/x
  3. Step 3: Cross multiply
    7,019.21x = 9,686.28 × 3,832.41
  4. Step 4: Simplify right side
    7,019.21x = 37,121,847.03
  5. Step 5: Solve for x
    x = 37,121,847.03/7,019.21
  6. Step 6: Final answer
    x = 5,288.61

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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.