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Finding the Fourth Proportional to 6,835.78, 9,434.24 and 3,852.33

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Solution

The fourth proportional to 6,835.78, 9,434.24 and 3,852.33 is: 5,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.78 : 9,434.24 = 3,852.33 : x
  2. Step 2: Convert to fraction form
    6,835.78/9,434.24 = 3,852.33/x
  3. Step 3: Cross multiply
    6,835.78x = 9,434.24 × 3,852.33
  4. Step 4: Simplify right side
    6,835.78x = 36,343,739.35
  5. Step 5: Solve for x
    x = 36,343,739.35/6,835.78
  6. Step 6: Final answer
    x = 5,316.69

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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.