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Finding the Fourth Proportional to 6,186.98, 9,272.04 and 3,409.49

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Solution

The fourth proportional to 6,186.98, 9,272.04 and 3,409.49 is: 5,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.98 : 9,272.04 = 3,409.49 : x
  2. Step 2: Convert to fraction form
    6,186.98/9,272.04 = 3,409.49/x
  3. Step 3: Cross multiply
    6,186.98x = 9,272.04 × 3,409.49
  4. Step 4: Simplify right side
    6,186.98x = 31,612,881.30
  5. Step 5: Solve for x
    x = 31,612,881.30/6,186.98
  6. Step 6: Final answer
    x = 5,109.59

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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.