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Finding the Fourth Proportional to 9,729.67, 13,410.80 and 6,893.41

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Solution

The fourth proportional to 9,729.67, 13,410.80 and 6,893.41 is: 9,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.67 : 13,410.80 = 6,893.41 : x
  2. Step 2: Convert to fraction form
    9,729.67/13,410.80 = 6,893.41/x
  3. Step 3: Cross multiply
    9,729.67x = 13,410.80 × 6,893.41
  4. Step 4: Simplify right side
    9,729.67x = 92,446,142.83
  5. Step 5: Solve for x
    x = 92,446,142.83/9,729.67
  6. Step 6: Final answer
    x = 9,501.47

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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.