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Finding the Fourth Proportional to 6,154.61, 9,232.04 and 1,994.61

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Solution

The fourth proportional to 6,154.61, 9,232.04 and 1,994.61 is: 2,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.61 : 9,232.04 = 1,994.61 : x
  2. Step 2: Convert to fraction form
    6,154.61/9,232.04 = 1,994.61/x
  3. Step 3: Cross multiply
    6,154.61x = 9,232.04 × 1,994.61
  4. Step 4: Simplify right side
    6,154.61x = 18,414,350.14
  5. Step 5: Solve for x
    x = 18,414,350.14/6,154.61
  6. Step 6: Final answer
    x = 2,991.96

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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.