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Finding the Fourth Proportional to 9,667.98, 13,342.59 and 8,093.34

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Solution

The fourth proportional to 9,667.98, 13,342.59 and 8,093.34 is: 11,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.98 : 13,342.59 = 8,093.34 : x
  2. Step 2: Convert to fraction form
    9,667.98/13,342.59 = 8,093.34/x
  3. Step 3: Cross multiply
    9,667.98x = 13,342.59 × 8,093.34
  4. Step 4: Simplify right side
    9,667.98x = 107,986,117.35
  5. Step 5: Solve for x
    x = 107,986,117.35/9,667.98
  6. Step 6: Final answer
    x = 11,169.46

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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.