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Finding the Fourth Proportional to 9,278.25, 12,803.99 and 5,086.50

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Solution

The fourth proportional to 9,278.25, 12,803.99 and 5,086.50 is: 7,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.25 : 12,803.99 = 5,086.50 : x
  2. Step 2: Convert to fraction form
    9,278.25/12,803.99 = 5,086.50/x
  3. Step 3: Cross multiply
    9,278.25x = 12,803.99 × 5,086.50
  4. Step 4: Simplify right side
    9,278.25x = 65,127,469.70
  5. Step 5: Solve for x
    x = 65,127,469.70/9,278.25
  6. Step 6: Final answer
    x = 7,019.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.