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Finding the Fourth Proportional to 6,911.88, 9,538.38 and 3,768.06

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Solution

The fourth proportional to 6,911.88, 9,538.38 and 3,768.06 is: 5,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.88 : 9,538.38 = 3,768.06 : x
  2. Step 2: Convert to fraction form
    6,911.88/9,538.38 = 3,768.06/x
  3. Step 3: Cross multiply
    6,911.88x = 9,538.38 × 3,768.06
  4. Step 4: Simplify right side
    6,911.88x = 35,941,188.14
  5. Step 5: Solve for x
    x = 35,941,188.14/6,911.88
  6. Step 6: Final answer
    x = 5,199.91

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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.