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Finding the Fourth Proportional to 6,832.83, 9,428.96 and 3,848.84

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Solution

The fourth proportional to 6,832.83, 9,428.96 and 3,848.84 is: 5,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.83 : 9,428.96 = 3,848.84 : x
  2. Step 2: Convert to fraction form
    6,832.83/9,428.96 = 3,848.84/x
  3. Step 3: Cross multiply
    6,832.83x = 9,428.96 × 3,848.84
  4. Step 4: Simplify right side
    6,832.83x = 36,290,539.16
  5. Step 5: Solve for x
    x = 36,290,539.16/6,832.83
  6. Step 6: Final answer
    x = 5,311.20

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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.