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Finding the Fourth Proportional to 8,942.14, 12,346.14 and 7,994.86

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Solution

The fourth proportional to 8,942.14, 12,346.14 and 7,994.86 is: 11,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.14 : 12,346.14 = 7,994.86 : x
  2. Step 2: Convert to fraction form
    8,942.14/12,346.14 = 7,994.86/x
  3. Step 3: Cross multiply
    8,942.14x = 12,346.14 × 7,994.86
  4. Step 4: Simplify right side
    8,942.14x = 98,705,660.84
  5. Step 5: Solve for x
    x = 98,705,660.84/8,942.14
  6. Step 6: Final answer
    x = 11,038.26

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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.