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Finding the Fourth Proportional to 9,540.56, 13,159.32 and 9,219.44

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Solution

The fourth proportional to 9,540.56, 13,159.32 and 9,219.44 is: 12,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.56 : 13,159.32 = 9,219.44 : x
  2. Step 2: Convert to fraction form
    9,540.56/13,159.32 = 9,219.44/x
  3. Step 3: Cross multiply
    9,540.56x = 13,159.32 × 9,219.44
  4. Step 4: Simplify right side
    9,540.56x = 121,321,561.18
  5. Step 5: Solve for x
    x = 121,321,561.18/9,540.56
  6. Step 6: Final answer
    x = 12,716.40

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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.