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Finding the Fourth Proportional to 6,820.23, 9,411.82 and 3,795.33

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Solution

The fourth proportional to 6,820.23, 9,411.82 and 3,795.33 is: 5,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.23 : 9,411.82 = 3,795.33 : x
  2. Step 2: Convert to fraction form
    6,820.23/9,411.82 = 3,795.33/x
  3. Step 3: Cross multiply
    6,820.23x = 9,411.82 × 3,795.33
  4. Step 4: Simplify right side
    6,820.23x = 35,720,962.80
  5. Step 5: Solve for x
    x = 35,720,962.80/6,820.23
  6. Step 6: Final answer
    x = 5,237.50

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