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Finding the Fourth Proportional to 9,486.70, 14,234.10 and 4,553.80

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Solution

The fourth proportional to 9,486.70, 14,234.10 and 4,553.80 is: 6,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.70 : 14,234.10 = 4,553.80 : x
  2. Step 2: Convert to fraction form
    9,486.70/14,234.10 = 4,553.80/x
  3. Step 3: Cross multiply
    9,486.70x = 14,234.10 × 4,553.80
  4. Step 4: Simplify right side
    9,486.70x = 64,819,244.58
  5. Step 5: Solve for x
    x = 64,819,244.58/9,486.70
  6. Step 6: Final answer
    x = 6,832.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.