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Finding the Fourth Proportional to 9,221.52, 13,828.20 and 2,646.18

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Solution

The fourth proportional to 9,221.52, 13,828.20 and 2,646.18 is: 3,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.52 : 13,828.20 = 2,646.18 : x
  2. Step 2: Convert to fraction form
    9,221.52/13,828.20 = 2,646.18/x
  3. Step 3: Cross multiply
    9,221.52x = 13,828.20 × 2,646.18
  4. Step 4: Simplify right side
    9,221.52x = 36,591,906.28
  5. Step 5: Solve for x
    x = 36,591,906.28/9,221.52
  6. Step 6: Final answer
    x = 3,968.10

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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.