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Finding the Fourth Proportional to 6,836.31, 9,434.00 and 3,852.43

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Solution

The fourth proportional to 6,836.31, 9,434.00 and 3,852.43 is: 5,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.31 : 9,434.00 = 3,852.43 : x
  2. Step 2: Convert to fraction form
    6,836.31/9,434.00 = 3,852.43/x
  3. Step 3: Cross multiply
    6,836.31x = 9,434.00 × 3,852.43
  4. Step 4: Simplify right side
    6,836.31x = 36,343,810.67
  5. Step 5: Solve for x
    x = 36,343,810.67/6,836.31
  6. Step 6: Final answer
    x = 5,316.29

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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.