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Finding the Fourth Proportional to 6,155.46, 9,233.64 and 1,996.02

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Solution

The fourth proportional to 6,155.46, 9,233.64 and 1,996.02 is: 2,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.46 : 9,233.64 = 1,996.02 : x
  2. Step 2: Convert to fraction form
    6,155.46/9,233.64 = 1,996.02/x
  3. Step 3: Cross multiply
    6,155.46x = 9,233.64 × 1,996.02
  4. Step 4: Simplify right side
    6,155.46x = 18,430,530.11
  5. Step 5: Solve for x
    x = 18,430,530.11/6,155.46
  6. Step 6: Final answer
    x = 2,994.18

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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.