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Finding the Fourth Proportional to 9,164.70, 13,747.05 and 8,214.30

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Solution

The fourth proportional to 9,164.70, 13,747.05 and 8,214.30 is: 12,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.70 : 13,747.05 = 8,214.30 : x
  2. Step 2: Convert to fraction form
    9,164.70/13,747.05 = 8,214.30/x
  3. Step 3: Cross multiply
    9,164.70x = 13,747.05 × 8,214.30
  4. Step 4: Simplify right side
    9,164.70x = 112,922,392.82
  5. Step 5: Solve for x
    x = 112,922,392.82/9,164.70
  6. Step 6: Final answer
    x = 12,321.45

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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.