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Finding the Fourth Proportional to 6,747.97, 9,312.22 and 3,764.00

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Solution

The fourth proportional to 6,747.97, 9,312.22 and 3,764.00 is: 5,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.97 : 9,312.22 = 3,764.00 : x
  2. Step 2: Convert to fraction form
    6,747.97/9,312.22 = 3,764.00/x
  3. Step 3: Cross multiply
    6,747.97x = 9,312.22 × 3,764.00
  4. Step 4: Simplify right side
    6,747.97x = 35,051,153.98
  5. Step 5: Solve for x
    x = 35,051,153.98/6,747.97
  6. Step 6: Final answer
    x = 5,194.33

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Why These Related Problems?

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