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Finding the Fourth Proportional to 6,200.96, 9,301.84 and 2,304.05

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Solution

The fourth proportional to 6,200.96, 9,301.84 and 2,304.05 is: 3,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.96 : 9,301.84 = 2,304.05 : x
  2. Step 2: Convert to fraction form
    6,200.96/9,301.84 = 2,304.05/x
  3. Step 3: Cross multiply
    6,200.96x = 9,301.84 × 2,304.05
  4. Step 4: Simplify right side
    6,200.96x = 21,431,852.18
  5. Step 5: Solve for x
    x = 21,431,852.18/6,200.96
  6. Step 6: Final answer
    x = 3,456.22

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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.