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Finding the Fourth Proportional to 9,257.10, 13,885.65 and 8,455.20

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Solution

The fourth proportional to 9,257.10, 13,885.65 and 8,455.20 is: 12,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.10 : 13,885.65 = 8,455.20 : x
  2. Step 2: Convert to fraction form
    9,257.10/13,885.65 = 8,455.20/x
  3. Step 3: Cross multiply
    9,257.10x = 13,885.65 × 8,455.20
  4. Step 4: Simplify right side
    9,257.10x = 117,405,947.88
  5. Step 5: Solve for x
    x = 117,405,947.88/9,257.10
  6. Step 6: Final answer
    x = 12,682.80

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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.