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Finding the Fourth Proportional to 9,612.70, 14,419.05 and 8,519.20

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Solution

The fourth proportional to 9,612.70, 14,419.05 and 8,519.20 is: 12,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.70 : 14,419.05 = 8,519.20 : x
  2. Step 2: Convert to fraction form
    9,612.70/14,419.05 = 8,519.20/x
  3. Step 3: Cross multiply
    9,612.70x = 14,419.05 × 8,519.20
  4. Step 4: Simplify right side
    9,612.70x = 122,838,770.76
  5. Step 5: Solve for x
    x = 122,838,770.76/9,612.70
  6. Step 6: Final answer
    x = 12,778.80

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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.