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Finding the Fourth Proportional to 8,833.81, 12,181.13 and 6,314.96

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Solution

The fourth proportional to 8,833.81, 12,181.13 and 6,314.96 is: 8,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.81 : 12,181.13 = 6,314.96 : x
  2. Step 2: Convert to fraction form
    8,833.81/12,181.13 = 6,314.96/x
  3. Step 3: Cross multiply
    8,833.81x = 12,181.13 × 6,314.96
  4. Step 4: Simplify right side
    8,833.81x = 76,923,406.79
  5. Step 5: Solve for x
    x = 76,923,406.79/8,833.81
  6. Step 6: Final answer
    x = 8,707.84

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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.