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Finding the Fourth Proportional to 9,106.01, 13,660.07 and 3,181.06

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Solution

The fourth proportional to 9,106.01, 13,660.07 and 3,181.06 is: 4,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.01 : 13,660.07 = 3,181.06 : x
  2. Step 2: Convert to fraction form
    9,106.01/13,660.07 = 3,181.06/x
  3. Step 3: Cross multiply
    9,106.01x = 13,660.07 × 3,181.06
  4. Step 4: Simplify right side
    9,106.01x = 43,453,486.37
  5. Step 5: Solve for x
    x = 43,453,486.37/9,106.01
  6. Step 6: Final answer
    x = 4,771.96

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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.