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Finding the Fourth Proportional to 6,183.80, 9,263.55 and 5,746.40

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Solution

The fourth proportional to 6,183.80, 9,263.55 and 5,746.40 is: 8,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.80 : 9,263.55 = 5,746.40 : x
  2. Step 2: Convert to fraction form
    6,183.80/9,263.55 = 5,746.40/x
  3. Step 3: Cross multiply
    6,183.80x = 9,263.55 × 5,746.40
  4. Step 4: Simplify right side
    6,183.80x = 53,232,063.72
  5. Step 5: Solve for x
    x = 53,232,063.72/6,183.80
  6. Step 6: Final answer
    x = 8,608.31

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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.