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Finding the Fourth Proportional to 9,492.70, 14,236.36 and 3,939.17

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Solution

The fourth proportional to 9,492.70, 14,236.36 and 3,939.17 is: 5,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.70 : 14,236.36 = 3,939.17 : x
  2. Step 2: Convert to fraction form
    9,492.70/14,236.36 = 3,939.17/x
  3. Step 3: Cross multiply
    9,492.70x = 14,236.36 × 3,939.17
  4. Step 4: Simplify right side
    9,492.70x = 56,079,467.96
  5. Step 5: Solve for x
    x = 56,079,467.96/9,492.70
  6. Step 6: Final answer
    x = 5,907.64

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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.