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Finding the Fourth Proportional to 9,757.44, 14,655.60 and 6,063.84

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Solution

The fourth proportional to 9,757.44, 14,655.60 and 6,063.84 is: 9,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.44 : 14,655.60 = 6,063.84 : x
  2. Step 2: Convert to fraction form
    9,757.44/14,655.60 = 6,063.84/x
  3. Step 3: Cross multiply
    9,757.44x = 14,655.60 × 6,063.84
  4. Step 4: Simplify right side
    9,757.44x = 88,869,213.50
  5. Step 5: Solve for x
    x = 88,869,213.50/9,757.44
  6. Step 6: Final answer
    x = 9,107.84

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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.