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Finding the Fourth Proportional to 6,154.93, 9,232.71 and 1,994.62

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Solution

The fourth proportional to 6,154.93, 9,232.71 and 1,994.62 is: 2,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.93 : 9,232.71 = 1,994.62 : x
  2. Step 2: Convert to fraction form
    6,154.93/9,232.71 = 1,994.62/x
  3. Step 3: Cross multiply
    6,154.93x = 9,232.71 × 1,994.62
  4. Step 4: Simplify right side
    6,154.93x = 18,415,748.02
  5. Step 5: Solve for x
    x = 18,415,748.02/6,154.93
  6. Step 6: Final answer
    x = 2,992.03

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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.