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Finding the Fourth Proportional to 6,820.88, 9,412.25 and 3,836.13

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Solution

The fourth proportional to 6,820.88, 9,412.25 and 3,836.13 is: 5,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.88 : 9,412.25 = 3,836.13 : x
  2. Step 2: Convert to fraction form
    6,820.88/9,412.25 = 3,836.13/x
  3. Step 3: Cross multiply
    6,820.88x = 9,412.25 × 3,836.13
  4. Step 4: Simplify right side
    6,820.88x = 36,106,595.41
  5. Step 5: Solve for x
    x = 36,106,595.41/6,820.88
  6. Step 6: Final answer
    x = 5,293.54

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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.