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Finding the Fourth Proportional to 9,086.43, 13,607.78 and 5,178.99

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Solution

The fourth proportional to 9,086.43, 13,607.78 and 5,178.99 is: 7,756.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.43 : 13,607.78 = 5,178.99 : x
  2. Step 2: Convert to fraction form
    9,086.43/13,607.78 = 5,178.99/x
  3. Step 3: Cross multiply
    9,086.43x = 13,607.78 × 5,178.99
  4. Step 4: Simplify right side
    9,086.43x = 70,474,530.65
  5. Step 5: Solve for x
    x = 70,474,530.65/9,086.43
  6. Step 6: Final answer
    x = 7,756.02

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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.