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Finding the Fourth Proportional to 9,191.94, 12,684.24 and 5,213.10

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Solution

The fourth proportional to 9,191.94, 12,684.24 and 5,213.10 is: 7,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.94 : 12,684.24 = 5,213.10 : x
  2. Step 2: Convert to fraction form
    9,191.94/12,684.24 = 5,213.10/x
  3. Step 3: Cross multiply
    9,191.94x = 12,684.24 × 5,213.10
  4. Step 4: Simplify right side
    9,191.94x = 66,124,211.54
  5. Step 5: Solve for x
    x = 66,124,211.54/9,191.94
  6. Step 6: Final answer
    x = 7,193.72

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Similar ratio
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1.5x scale

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.