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Finding the Fourth Proportional to 9,612.76, 14,427.66 and 4,936.04

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Solution

The fourth proportional to 9,612.76, 14,427.66 and 4,936.04 is: 7,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.76 : 14,427.66 = 4,936.04 : x
  2. Step 2: Convert to fraction form
    9,612.76/14,427.66 = 4,936.04/x
  3. Step 3: Cross multiply
    9,612.76x = 14,427.66 × 4,936.04
  4. Step 4: Simplify right side
    9,612.76x = 71,215,506.87
  5. Step 5: Solve for x
    x = 71,215,506.87/9,612.76
  6. Step 6: Final answer
    x = 7,408.43

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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.