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Finding the Fourth Proportional to 9,378.89, 12,944.09 and 5,400.17

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Solution

The fourth proportional to 9,378.89, 12,944.09 and 5,400.17 is: 7,452.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.89 : 12,944.09 = 5,400.17 : x
  2. Step 2: Convert to fraction form
    9,378.89/12,944.09 = 5,400.17/x
  3. Step 3: Cross multiply
    9,378.89x = 12,944.09 × 5,400.17
  4. Step 4: Simplify right side
    9,378.89x = 69,900,286.50
  5. Step 5: Solve for x
    x = 69,900,286.50/9,378.89
  6. Step 6: Final answer
    x = 7,452.94

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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.