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Finding the Fourth Proportional to 6,303.54, 9,452.43 and 1,920.18

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Solution

The fourth proportional to 6,303.54, 9,452.43 and 1,920.18 is: 2,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.54 : 9,452.43 = 1,920.18 : x
  2. Step 2: Convert to fraction form
    6,303.54/9,452.43 = 1,920.18/x
  3. Step 3: Cross multiply
    6,303.54x = 9,452.43 × 1,920.18
  4. Step 4: Simplify right side
    6,303.54x = 18,150,367.04
  5. Step 5: Solve for x
    x = 18,150,367.04/6,303.54
  6. Step 6: Final answer
    x = 2,879.39

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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.