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Finding the Fourth Proportional to 6,751.28, 9,317.40 and 3,767.38

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Solution

The fourth proportional to 6,751.28, 9,317.40 and 3,767.38 is: 5,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.28 : 9,317.40 = 3,767.38 : x
  2. Step 2: Convert to fraction form
    6,751.28/9,317.40 = 3,767.38/x
  3. Step 3: Cross multiply
    6,751.28x = 9,317.40 × 3,767.38
  4. Step 4: Simplify right side
    6,751.28x = 35,102,186.41
  5. Step 5: Solve for x
    x = 35,102,186.41/6,751.28
  6. Step 6: Final answer
    x = 5,199.34

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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.