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Finding the Fourth Proportional to 9,189.96, 13,787.25 and 2,616.15

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Solution

The fourth proportional to 9,189.96, 13,787.25 and 2,616.15 is: 3,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.96 : 13,787.25 = 2,616.15 : x
  2. Step 2: Convert to fraction form
    9,189.96/13,787.25 = 2,616.15/x
  3. Step 3: Cross multiply
    9,189.96x = 13,787.25 × 2,616.15
  4. Step 4: Simplify right side
    9,189.96x = 36,069,514.09
  5. Step 5: Solve for x
    x = 36,069,514.09/9,189.96
  6. Step 6: Final answer
    x = 3,924.88

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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.