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Finding the Fourth Proportional to 9,662.97, 14,500.95 and 3,422.96

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Solution

The fourth proportional to 9,662.97, 14,500.95 and 3,422.96 is: 5,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.97 : 14,500.95 = 3,422.96 : x
  2. Step 2: Convert to fraction form
    9,662.97/14,500.95 = 3,422.96/x
  3. Step 3: Cross multiply
    9,662.97x = 14,500.95 × 3,422.96
  4. Step 4: Simplify right side
    9,662.97x = 49,636,171.81
  5. Step 5: Solve for x
    x = 49,636,171.81/9,662.97
  6. Step 6: Final answer
    x = 5,136.74

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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.