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Finding the Fourth Proportional to 9,835.18, 13,568.22 and 6,647.31

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Solution

The fourth proportional to 9,835.18, 13,568.22 and 6,647.31 is: 9,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.18 : 13,568.22 = 6,647.31 : x
  2. Step 2: Convert to fraction form
    9,835.18/13,568.22 = 6,647.31/x
  3. Step 3: Cross multiply
    9,835.18x = 13,568.22 × 6,647.31
  4. Step 4: Simplify right side
    9,835.18x = 90,192,164.49
  5. Step 5: Solve for x
    x = 90,192,164.49/9,835.18
  6. Step 6: Final answer
    x = 9,170.36

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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.