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Finding the Fourth Proportional to 6,836.34, 9,435.02 and 3,852.91

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Solution

The fourth proportional to 6,836.34, 9,435.02 and 3,852.91 is: 5,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.34 : 9,435.02 = 3,852.91 : x
  2. Step 2: Convert to fraction form
    6,836.34/9,435.02 = 3,852.91/x
  3. Step 3: Cross multiply
    6,836.34x = 9,435.02 × 3,852.91
  4. Step 4: Simplify right side
    6,836.34x = 36,352,282.91
  5. Step 5: Solve for x
    x = 36,352,282.91/6,836.34
  6. Step 6: Final answer
    x = 5,317.51

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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.