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Finding the Fourth Proportional to 6,836.96, 9,435.18 and 3,853.07

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Solution

The fourth proportional to 6,836.96, 9,435.18 and 3,853.07 is: 5,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.96 : 9,435.18 = 3,853.07 : x
  2. Step 2: Convert to fraction form
    6,836.96/9,435.18 = 3,853.07/x
  3. Step 3: Cross multiply
    6,836.96x = 9,435.18 × 3,853.07
  4. Step 4: Simplify right side
    6,836.96x = 36,354,411.66
  5. Step 5: Solve for x
    x = 36,354,411.66/6,836.96
  6. Step 6: Final answer
    x = 5,317.34

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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.