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Finding the Fourth Proportional to 9,181.68, 13,757.84 and 5,892.08

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Solution

The fourth proportional to 9,181.68, 13,757.84 and 5,892.08 is: 8,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.68 : 13,757.84 = 5,892.08 : x
  2. Step 2: Convert to fraction form
    9,181.68/13,757.84 = 5,892.08/x
  3. Step 3: Cross multiply
    9,181.68x = 13,757.84 × 5,892.08
  4. Step 4: Simplify right side
    9,181.68x = 81,062,293.91
  5. Step 5: Solve for x
    x = 81,062,293.91/9,181.68
  6. Step 6: Final answer
    x = 8,828.70

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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.