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Finding the Fourth Proportional to 6,813.63, 9,403.58 and 3,789.05

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Solution

The fourth proportional to 6,813.63, 9,403.58 and 3,789.05 is: 5,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.63 : 9,403.58 = 3,789.05 : x
  2. Step 2: Convert to fraction form
    6,813.63/9,403.58 = 3,789.05/x
  3. Step 3: Cross multiply
    6,813.63x = 9,403.58 × 3,789.05
  4. Step 4: Simplify right side
    6,813.63x = 35,630,620.76
  5. Step 5: Solve for x
    x = 35,630,620.76/6,813.63
  6. Step 6: Final answer
    x = 5,229.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.