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Finding the Fourth Proportional to 9,266.20, 13,910.10 and 9,201.40

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Solution

The fourth proportional to 9,266.20, 13,910.10 and 9,201.40 is: 13,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.20 : 13,910.10 = 9,201.40 : x
  2. Step 2: Convert to fraction form
    9,266.20/13,910.10 = 9,201.40/x
  3. Step 3: Cross multiply
    9,266.20x = 13,910.10 × 9,201.40
  4. Step 4: Simplify right side
    9,266.20x = 127,992,394.14
  5. Step 5: Solve for x
    x = 127,992,394.14/9,266.20
  6. Step 6: Final answer
    x = 13,812.82

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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.