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Finding the Fourth Proportional to 9,662.81, 14,497.86 and 3,422.57

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Solution

The fourth proportional to 9,662.81, 14,497.86 and 3,422.57 is: 5,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.81 : 14,497.86 = 3,422.57 : x
  2. Step 2: Convert to fraction form
    9,662.81/14,497.86 = 3,422.57/x
  3. Step 3: Cross multiply
    9,662.81x = 14,497.86 × 3,422.57
  4. Step 4: Simplify right side
    9,662.81x = 49,619,940.70
  5. Step 5: Solve for x
    x = 49,619,940.70/9,662.81
  6. Step 6: Final answer
    x = 5,135.15

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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.