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Finding the Fourth Proportional to 6,010.82, 9,009.84 and 3,546.80

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Solution

The fourth proportional to 6,010.82, 9,009.84 and 3,546.80 is: 5,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.82 : 9,009.84 = 3,546.80 : x
  2. Step 2: Convert to fraction form
    6,010.82/9,009.84 = 3,546.80/x
  3. Step 3: Cross multiply
    6,010.82x = 9,009.84 × 3,546.80
  4. Step 4: Simplify right side
    6,010.82x = 31,956,100.51
  5. Step 5: Solve for x
    x = 31,956,100.51/6,010.82
  6. Step 6: Final answer
    x = 5,316.43

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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.