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Finding the Fourth Proportional to 6,832.84, 9,429.90 and 3,849.26

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Solution

The fourth proportional to 6,832.84, 9,429.90 and 3,849.26 is: 5,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.84 : 9,429.90 = 3,849.26 : x
  2. Step 2: Convert to fraction form
    6,832.84/9,429.90 = 3,849.26/x
  3. Step 3: Cross multiply
    6,832.84x = 9,429.90 × 3,849.26
  4. Step 4: Simplify right side
    6,832.84x = 36,298,136.87
  5. Step 5: Solve for x
    x = 36,298,136.87/6,832.84
  6. Step 6: Final answer
    x = 5,312.31

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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.