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Finding the Fourth Proportional to 6,729.41, 9,285.44 and 6,185.03

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Solution

The fourth proportional to 6,729.41, 9,285.44 and 6,185.03 is: 8,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.41 : 9,285.44 = 6,185.03 : x
  2. Step 2: Convert to fraction form
    6,729.41/9,285.44 = 6,185.03/x
  3. Step 3: Cross multiply
    6,729.41x = 9,285.44 × 6,185.03
  4. Step 4: Simplify right side
    6,729.41x = 57,430,647.61
  5. Step 5: Solve for x
    x = 57,430,647.61/6,729.41
  6. Step 6: Final answer
    x = 8,534.27

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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.