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Finding the Fourth Proportional to 9,105.85, 13,655.46 and 3,181.07

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Solution

The fourth proportional to 9,105.85, 13,655.46 and 3,181.07 is: 4,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.85 : 13,655.46 = 3,181.07 : x
  2. Step 2: Convert to fraction form
    9,105.85/13,655.46 = 3,181.07/x
  3. Step 3: Cross multiply
    9,105.85x = 13,655.46 × 3,181.07
  4. Step 4: Simplify right side
    9,105.85x = 43,439,008.28
  5. Step 5: Solve for x
    x = 43,439,008.28/9,105.85
  6. Step 6: Final answer
    x = 4,770.45

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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.