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Finding the Fourth Proportional to 9,364.10, 14,046.15 and 8,212.10

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Solution

The fourth proportional to 9,364.10, 14,046.15 and 8,212.10 is: 12,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.10 : 14,046.15 = 8,212.10 : x
  2. Step 2: Convert to fraction form
    9,364.10/14,046.15 = 8,212.10/x
  3. Step 3: Cross multiply
    9,364.10x = 14,046.15 × 8,212.10
  4. Step 4: Simplify right side
    9,364.10x = 115,348,388.42
  5. Step 5: Solve for x
    x = 115,348,388.42/9,364.10
  6. Step 6: Final answer
    x = 12,318.15

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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.