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Finding the Fourth Proportional to 9,218.56, 13,827.84 and 8,296.96

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Solution

The fourth proportional to 9,218.56, 13,827.84 and 8,296.96 is: 12,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.56 : 13,827.84 = 8,296.96 : x
  2. Step 2: Convert to fraction form
    9,218.56/13,827.84 = 8,296.96/x
  3. Step 3: Cross multiply
    9,218.56x = 13,827.84 × 8,296.96
  4. Step 4: Simplify right side
    9,218.56x = 114,729,035.37
  5. Step 5: Solve for x
    x = 114,729,035.37/9,218.56
  6. Step 6: Final answer
    x = 12,445.44

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.