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Finding the Fourth Proportional to 6,009.06, 9,016.29 and 3,817.20

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Solution

The fourth proportional to 6,009.06, 9,016.29 and 3,817.20 is: 5,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.06 : 9,016.29 = 3,817.20 : x
  2. Step 2: Convert to fraction form
    6,009.06/9,016.29 = 3,817.20/x
  3. Step 3: Cross multiply
    6,009.06x = 9,016.29 × 3,817.20
  4. Step 4: Simplify right side
    6,009.06x = 34,416,982.19
  5. Step 5: Solve for x
    x = 34,416,982.19/6,009.06
  6. Step 6: Final answer
    x = 5,727.52

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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.