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Finding the Fourth Proportional to 6,098.41, 9,141.20 and 3,462.61

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Solution

The fourth proportional to 6,098.41, 9,141.20 and 3,462.61 is: 5,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.41 : 9,141.20 = 3,462.61 : x
  2. Step 2: Convert to fraction form
    6,098.41/9,141.20 = 3,462.61/x
  3. Step 3: Cross multiply
    6,098.41x = 9,141.20 × 3,462.61
  4. Step 4: Simplify right side
    6,098.41x = 31,652,393.22
  5. Step 5: Solve for x
    x = 31,652,393.22/6,098.41
  6. Step 6: Final answer
    x = 5,190.27

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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.