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Finding the Fourth Proportional to 9,492.56, 14,236.08 and 3,646

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Solution

The fourth proportional to 9,492.56, 14,236.08 and 3,646 is: 5,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.56 : 14,236.08 = 3,646 : x
  2. Step 2: Convert to fraction form
    9,492.56/14,236.08 = 3,646/x
  3. Step 3: Cross multiply
    9,492.56x = 14,236.08 × 3,646
  4. Step 4: Simplify right side
    9,492.56x = 51,904,747.68
  5. Step 5: Solve for x
    x = 51,904,747.68/9,492.56
  6. Step 6: Final answer
    x = 5,467.94

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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.