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Finding the Fourth Proportional to 6,009.78, 8,290.11 and 4,238.31

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Solution

The fourth proportional to 6,009.78, 8,290.11 and 4,238.31 is: 5,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.78 : 8,290.11 = 4,238.31 : x
  2. Step 2: Convert to fraction form
    6,009.78/8,290.11 = 4,238.31/x
  3. Step 3: Cross multiply
    6,009.78x = 8,290.11 × 4,238.31
  4. Step 4: Simplify right side
    6,009.78x = 35,136,056.11
  5. Step 5: Solve for x
    x = 35,136,056.11/6,009.78
  6. Step 6: Final answer
    x = 5,846.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.