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Finding the Fourth Proportional to 6,764.22, 9,334.56 and 3,780.02

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Solution

The fourth proportional to 6,764.22, 9,334.56 and 3,780.02 is: 5,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.22 : 9,334.56 = 3,780.02 : x
  2. Step 2: Convert to fraction form
    6,764.22/9,334.56 = 3,780.02/x
  3. Step 3: Cross multiply
    6,764.22x = 9,334.56 × 3,780.02
  4. Step 4: Simplify right side
    6,764.22x = 35,284,823.49
  5. Step 5: Solve for x
    x = 35,284,823.49/6,764.22
  6. Step 6: Final answer
    x = 5,216.39

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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.