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Finding the Fourth Proportional to 9,853.98, 13,593.43 and 6,667.42

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Solution

The fourth proportional to 9,853.98, 13,593.43 and 6,667.42 is: 9,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.98 : 13,593.43 = 6,667.42 : x
  2. Step 2: Convert to fraction form
    9,853.98/13,593.43 = 6,667.42/x
  3. Step 3: Cross multiply
    9,853.98x = 13,593.43 × 6,667.42
  4. Step 4: Simplify right side
    9,853.98x = 90,633,081.40
  5. Step 5: Solve for x
    x = 90,633,081.40/9,853.98
  6. Step 6: Final answer
    x = 9,197.61

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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.