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Finding the Fourth Proportional to 6,364.08, 9,543.60 and 1,920.36

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Solution

The fourth proportional to 6,364.08, 9,543.60 and 1,920.36 is: 2,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.08 : 9,543.60 = 1,920.36 : x
  2. Step 2: Convert to fraction form
    6,364.08/9,543.60 = 1,920.36/x
  3. Step 3: Cross multiply
    6,364.08x = 9,543.60 × 1,920.36
  4. Step 4: Simplify right side
    6,364.08x = 18,327,147.70
  5. Step 5: Solve for x
    x = 18,327,147.70/6,364.08
  6. Step 6: Final answer
    x = 2,879.78

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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.