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Finding the Fourth Proportional to 6,848.02, 9,450.32 and 3,781.96

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Solution

The fourth proportional to 6,848.02, 9,450.32 and 3,781.96 is: 5,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.02 : 9,450.32 = 3,781.96 : x
  2. Step 2: Convert to fraction form
    6,848.02/9,450.32 = 3,781.96/x
  3. Step 3: Cross multiply
    6,848.02x = 9,450.32 × 3,781.96
  4. Step 4: Simplify right side
    6,848.02x = 35,740,732.23
  5. Step 5: Solve for x
    x = 35,740,732.23/6,848.02
  6. Step 6: Final answer
    x = 5,219.13

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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.