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Finding the Fourth Proportional to 6,009.62, 9,016.59 and 3,698.42

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Solution

The fourth proportional to 6,009.62, 9,016.59 and 3,698.42 is: 5,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.62 : 9,016.59 = 3,698.42 : x
  2. Step 2: Convert to fraction form
    6,009.62/9,016.59 = 3,698.42/x
  3. Step 3: Cross multiply
    6,009.62x = 9,016.59 × 3,698.42
  4. Step 4: Simplify right side
    6,009.62x = 33,347,136.79
  5. Step 5: Solve for x
    x = 33,347,136.79/6,009.62
  6. Step 6: Final answer
    x = 5,548.96

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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.