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Finding the Fourth Proportional to 6,405.45, 9,608.48 and 1,902.05

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Solution

The fourth proportional to 6,405.45, 9,608.48 and 1,902.05 is: 2,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.45 : 9,608.48 = 1,902.05 : x
  2. Step 2: Convert to fraction form
    6,405.45/9,608.48 = 1,902.05/x
  3. Step 3: Cross multiply
    6,405.45x = 9,608.48 × 1,902.05
  4. Step 4: Simplify right side
    6,405.45x = 18,275,751.83
  5. Step 5: Solve for x
    x = 18,275,751.83/6,405.45
  6. Step 6: Final answer
    x = 2,853.16

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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.