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Finding the Fourth Proportional to 9,806.42, 13,540.49 and 6,031.34

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Solution

The fourth proportional to 9,806.42, 13,540.49 and 6,031.34 is: 8,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.42 : 13,540.49 = 6,031.34 : x
  2. Step 2: Convert to fraction form
    9,806.42/13,540.49 = 6,031.34/x
  3. Step 3: Cross multiply
    9,806.42x = 13,540.49 × 6,031.34
  4. Step 4: Simplify right side
    9,806.42x = 81,667,253.37
  5. Step 5: Solve for x
    x = 81,667,253.37/9,806.42
  6. Step 6: Final answer
    x = 8,327.94

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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.