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Finding the Fourth Proportional to 9,200.22, 13,729.63 and 8,216.02

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Solution

The fourth proportional to 9,200.22, 13,729.63 and 8,216.02 is: 12,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.22 : 13,729.63 = 8,216.02 : x
  2. Step 2: Convert to fraction form
    9,200.22/13,729.63 = 8,216.02/x
  3. Step 3: Cross multiply
    9,200.22x = 13,729.63 × 8,216.02
  4. Step 4: Simplify right side
    9,200.22x = 112,802,914.67
  5. Step 5: Solve for x
    x = 112,802,914.67/9,200.22
  6. Step 6: Final answer
    x = 12,260.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.