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Finding the Fourth Proportional to 9,314.54, 12,856.79 and 5,540.36

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Solution

The fourth proportional to 9,314.54, 12,856.79 and 5,540.36 is: 7,647.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.54 : 12,856.79 = 5,540.36 : x
  2. Step 2: Convert to fraction form
    9,314.54/12,856.79 = 5,540.36/x
  3. Step 3: Cross multiply
    9,314.54x = 12,856.79 × 5,540.36
  4. Step 4: Simplify right side
    9,314.54x = 71,231,245.04
  5. Step 5: Solve for x
    x = 71,231,245.04/9,314.54
  6. Step 6: Final answer
    x = 7,647.32

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Why These Related Problems?

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