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Finding the Fourth Proportional to 9,181.92, 12,677.04 and 6,394.08

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Solution

The fourth proportional to 9,181.92, 12,677.04 and 6,394.08 is: 8,828.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.92 : 12,677.04 = 6,394.08 : x
  2. Step 2: Convert to fraction form
    9,181.92/12,677.04 = 6,394.08/x
  3. Step 3: Cross multiply
    9,181.92x = 12,677.04 × 6,394.08
  4. Step 4: Simplify right side
    9,181.92x = 81,058,007.92
  5. Step 5: Solve for x
    x = 81,058,007.92/9,181.92
  6. Step 6: Final answer
    x = 8,828.00

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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.