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Finding the Fourth Proportional to 9,960.71, 14,937.48 and 3,295.98

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Solution

The fourth proportional to 9,960.71, 14,937.48 and 3,295.98 is: 4,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.71 : 14,937.48 = 3,295.98 : x
  2. Step 2: Convert to fraction form
    9,960.71/14,937.48 = 3,295.98/x
  3. Step 3: Cross multiply
    9,960.71x = 14,937.48 × 3,295.98
  4. Step 4: Simplify right side
    9,960.71x = 49,233,635.33
  5. Step 5: Solve for x
    x = 49,233,635.33/9,960.71
  6. Step 6: Final answer
    x = 4,942.79

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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.