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Finding the Fourth Proportional to 6,301.22, 9,451.92 and 2,405.84

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Solution

The fourth proportional to 6,301.22, 9,451.92 and 2,405.84 is: 3,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.22 : 9,451.92 = 2,405.84 : x
  2. Step 2: Convert to fraction form
    6,301.22/9,451.92 = 2,405.84/x
  3. Step 3: Cross multiply
    6,301.22x = 9,451.92 × 2,405.84
  4. Step 4: Simplify right side
    6,301.22x = 22,739,807.21
  5. Step 5: Solve for x
    x = 22,739,807.21/6,301.22
  6. Step 6: Final answer
    x = 3,608.79

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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.