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Finding the Fourth Proportional to 6,093.18, 9,142.65 and 5,994.90

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Solution

The fourth proportional to 6,093.18, 9,142.65 and 5,994.90 is: 8,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.18 : 9,142.65 = 5,994.90 : x
  2. Step 2: Convert to fraction form
    6,093.18/9,142.65 = 5,994.90/x
  3. Step 3: Cross multiply
    6,093.18x = 9,142.65 × 5,994.90
  4. Step 4: Simplify right side
    6,093.18x = 54,809,272.49
  5. Step 5: Solve for x
    x = 54,809,272.49/6,093.18
  6. Step 6: Final answer
    x = 8,995.18

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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.