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Finding the Fourth Proportional to 6,848.01, 9,450.09 and 3,863.77

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Solution

The fourth proportional to 6,848.01, 9,450.09 and 3,863.77 is: 5,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.01 : 9,450.09 = 3,863.77 : x
  2. Step 2: Convert to fraction form
    6,848.01/9,450.09 = 3,863.77/x
  3. Step 3: Cross multiply
    6,848.01x = 9,450.09 × 3,863.77
  4. Step 4: Simplify right side
    6,848.01x = 36,512,950.61
  5. Step 5: Solve for x
    x = 36,512,950.61/6,848.01
  6. Step 6: Final answer
    x = 5,331.91

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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.