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Finding the Fourth Proportional to 6,154.46, 9,232.34 and 1,994.30

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Solution

The fourth proportional to 6,154.46, 9,232.34 and 1,994.30 is: 2,991.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.46 : 9,232.34 = 1,994.30 : x
  2. Step 2: Convert to fraction form
    6,154.46/9,232.34 = 1,994.30/x
  3. Step 3: Cross multiply
    6,154.46x = 9,232.34 × 1,994.30
  4. Step 4: Simplify right side
    6,154.46x = 18,412,068.77
  5. Step 5: Solve for x
    x = 18,412,068.77/6,154.46
  6. Step 6: Final answer
    x = 2,991.66

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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.