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Finding the Fourth Proportional to 9,016.92, 13,525.38 and 3,822.12

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Solution

The fourth proportional to 9,016.92, 13,525.38 and 3,822.12 is: 5,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.92 : 13,525.38 = 3,822.12 : x
  2. Step 2: Convert to fraction form
    9,016.92/13,525.38 = 3,822.12/x
  3. Step 3: Cross multiply
    9,016.92x = 13,525.38 × 3,822.12
  4. Step 4: Simplify right side
    9,016.92x = 51,695,625.41
  5. Step 5: Solve for x
    x = 51,695,625.41/9,016.92
  6. Step 6: Final answer
    x = 5,733.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.