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Finding the Fourth Proportional to 9,734.68, 14,604.30 and 5,349.88

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Solution

The fourth proportional to 9,734.68, 14,604.30 and 5,349.88 is: 8,026.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.68 : 14,604.30 = 5,349.88 : x
  2. Step 2: Convert to fraction form
    9,734.68/14,604.30 = 5,349.88/x
  3. Step 3: Cross multiply
    9,734.68x = 14,604.30 × 5,349.88
  4. Step 4: Simplify right side
    9,734.68x = 78,131,252.48
  5. Step 5: Solve for x
    x = 78,131,252.48/9,734.68
  6. Step 6: Final answer
    x = 8,026.07

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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.