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Finding the Fourth Proportional to 9,680, 14,492.46 and 6,383.04

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Solution

The fourth proportional to 9,680, 14,492.46 and 6,383.04 is: 9,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680 : 14,492.46 = 6,383.04 : x
  2. Step 2: Convert to fraction form
    9,680/14,492.46 = 6,383.04/x
  3. Step 3: Cross multiply
    9,680x = 14,492.46 × 6,383.04
  4. Step 4: Simplify right side
    9,680x = 92,505,951.88
  5. Step 5: Solve for x
    x = 92,505,951.88/9,680
  6. Step 6: Final answer
    x = 9,556.40

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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.