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Finding the Fourth Proportional to 9,489.84, 14,234.76 and 8,024.64

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Solution

The fourth proportional to 9,489.84, 14,234.76 and 8,024.64 is: 12,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.84 : 14,234.76 = 8,024.64 : x
  2. Step 2: Convert to fraction form
    9,489.84/14,234.76 = 8,024.64/x
  3. Step 3: Cross multiply
    9,489.84x = 14,234.76 × 8,024.64
  4. Step 4: Simplify right side
    9,489.84x = 114,228,824.49
  5. Step 5: Solve for x
    x = 114,228,824.49/9,489.84
  6. Step 6: Final answer
    x = 12,036.96

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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.