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Finding the Fourth Proportional to 7,994.58, 11,997.94 and 6,438.32

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Solution

The fourth proportional to 7,994.58, 11,997.94 and 6,438.32 is: 9,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994.58 : 11,997.94 = 6,438.32 : x
  2. Step 2: Convert to fraction form
    7,994.58/11,997.94 = 6,438.32/x
  3. Step 3: Cross multiply
    7,994.58x = 11,997.94 × 6,438.32
  4. Step 4: Simplify right side
    7,994.58x = 77,246,577.06
  5. Step 5: Solve for x
    x = 77,246,577.06/7,994.58
  6. Step 6: Final answer
    x = 9,662.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.