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Finding the Fourth Proportional to 6,380.77, 9,573.77 and 2,821.01

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Solution

The fourth proportional to 6,380.77, 9,573.77 and 2,821.01 is: 4,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.77 : 9,573.77 = 2,821.01 : x
  2. Step 2: Convert to fraction form
    6,380.77/9,573.77 = 2,821.01/x
  3. Step 3: Cross multiply
    6,380.77x = 9,573.77 × 2,821.01
  4. Step 4: Simplify right side
    6,380.77x = 27,007,638.93
  5. Step 5: Solve for x
    x = 27,007,638.93/6,380.77
  6. Step 6: Final answer
    x = 4,232.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.