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Finding the Fourth Proportional to 6,523.05, 9,783.77 and 2,776.33

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Solution

The fourth proportional to 6,523.05, 9,783.77 and 2,776.33 is: 4,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.05 : 9,783.77 = 2,776.33 : x
  2. Step 2: Convert to fraction form
    6,523.05/9,783.77 = 2,776.33/x
  3. Step 3: Cross multiply
    6,523.05x = 9,783.77 × 2,776.33
  4. Step 4: Simplify right side
    6,523.05x = 27,162,960.28
  5. Step 5: Solve for x
    x = 27,162,960.28/6,523.05
  6. Step 6: Final answer
    x = 4,164.15

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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.