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Finding the Fourth Proportional to 5,994.96, 8,973 and 5,346.96

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Solution

The fourth proportional to 5,994.96, 8,973 and 5,346.96 is: 8,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.96 : 8,973 = 5,346.96 : x
  2. Step 2: Convert to fraction form
    5,994.96/8,973 = 5,346.96/x
  3. Step 3: Cross multiply
    5,994.96x = 8,973 × 5,346.96
  4. Step 4: Simplify right side
    5,994.96x = 47,978,272.08
  5. Step 5: Solve for x
    x = 47,978,272.08/5,994.96
  6. Step 6: Final answer
    x = 8,003.10

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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.