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Finding the Fourth Proportional to 9,682, 14,495.46 and 6,385.04

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Solution

The fourth proportional to 9,682, 14,495.46 and 6,385.04 is: 9,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 14,495.46 = 6,385.04 : x
  2. Step 2: Convert to fraction form
    9,682/14,495.46 = 6,385.04/x
  3. Step 3: Cross multiply
    9,682x = 14,495.46 × 6,385.04
  4. Step 4: Simplify right side
    9,682x = 92,554,091.92
  5. Step 5: Solve for x
    x = 92,554,091.92/9,682
  6. Step 6: Final answer
    x = 9,559.40

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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.