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Finding the Fourth Proportional to 6,200.96, 9,297.12 and 2,304.32

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Solution

The fourth proportional to 6,200.96, 9,297.12 and 2,304.32 is: 3,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.96 : 9,297.12 = 2,304.32 : x
  2. Step 2: Convert to fraction form
    6,200.96/9,297.12 = 2,304.32/x
  3. Step 3: Cross multiply
    6,200.96x = 9,297.12 × 2,304.32
  4. Step 4: Simplify right side
    6,200.96x = 21,423,539.56
  5. Step 5: Solve for x
    x = 21,423,539.56/6,200.96
  6. Step 6: Final answer
    x = 3,454.87

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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.