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Finding the Fourth Proportional to 9,204.22, 13,814.63 and 8,613.73

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Solution

The fourth proportional to 9,204.22, 13,814.63 and 8,613.73 is: 12,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.22 : 13,814.63 = 8,613.73 : x
  2. Step 2: Convert to fraction form
    9,204.22/13,814.63 = 8,613.73/x
  3. Step 3: Cross multiply
    9,204.22x = 13,814.63 × 8,613.73
  4. Step 4: Simplify right side
    9,204.22x = 118,995,492.87
  5. Step 5: Solve for x
    x = 118,995,492.87/9,204.22
  6. Step 6: Final answer
    x = 12,928.36

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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.