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Finding the Fourth Proportional to 9,770.68, 14,636.49 and 5,872.96

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Solution

The fourth proportional to 9,770.68, 14,636.49 and 5,872.96 is: 8,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.68 : 14,636.49 = 5,872.96 : x
  2. Step 2: Convert to fraction form
    9,770.68/14,636.49 = 5,872.96/x
  3. Step 3: Cross multiply
    9,770.68x = 14,636.49 × 5,872.96
  4. Step 4: Simplify right side
    9,770.68x = 85,959,520.31
  5. Step 5: Solve for x
    x = 85,959,520.31/9,770.68
  6. Step 6: Final answer
    x = 8,797.70

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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.