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Finding the Fourth Proportional to 9,201.12, 13,801.38 and 5,478.43

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Solution

The fourth proportional to 9,201.12, 13,801.38 and 5,478.43 is: 8,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.12 : 13,801.38 = 5,478.43 : x
  2. Step 2: Convert to fraction form
    9,201.12/13,801.38 = 5,478.43/x
  3. Step 3: Cross multiply
    9,201.12x = 13,801.38 × 5,478.43
  4. Step 4: Simplify right side
    9,201.12x = 75,609,894.23
  5. Step 5: Solve for x
    x = 75,609,894.23/9,201.12
  6. Step 6: Final answer
    x = 8,217.47

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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.