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Finding the Fourth Proportional to 9,342.75, 14,014.09 and 3,103.23

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Solution

The fourth proportional to 9,342.75, 14,014.09 and 3,103.23 is: 4,654.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.75 : 14,014.09 = 3,103.23 : x
  2. Step 2: Convert to fraction form
    9,342.75/14,014.09 = 3,103.23/x
  3. Step 3: Cross multiply
    9,342.75x = 14,014.09 × 3,103.23
  4. Step 4: Simplify right side
    9,342.75x = 43,488,944.51
  5. Step 5: Solve for x
    x = 43,488,944.51/9,342.75
  6. Step 6: Final answer
    x = 4,654.83

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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.