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Finding the Fourth Proportional to 9,254.90, 13,882.35 and 8,234.30

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Solution

The fourth proportional to 9,254.90, 13,882.35 and 8,234.30 is: 12,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.90 : 13,882.35 = 8,234.30 : x
  2. Step 2: Convert to fraction form
    9,254.90/13,882.35 = 8,234.30/x
  3. Step 3: Cross multiply
    9,254.90x = 13,882.35 × 8,234.30
  4. Step 4: Simplify right side
    9,254.90x = 114,311,434.61
  5. Step 5: Solve for x
    x = 114,311,434.61/9,254.90
  6. Step 6: Final answer
    x = 12,351.45

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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.