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Finding the Fourth Proportional to 9,350.71, 12,900.67 and 6,169.97

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Solution

The fourth proportional to 9,350.71, 12,900.67 and 6,169.97 is: 8,512.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.71 : 12,900.67 = 6,169.97 : x
  2. Step 2: Convert to fraction form
    9,350.71/12,900.67 = 6,169.97/x
  3. Step 3: Cross multiply
    9,350.71x = 12,900.67 × 6,169.97
  4. Step 4: Simplify right side
    9,350.71x = 79,596,763.71
  5. Step 5: Solve for x
    x = 79,596,763.71/9,350.71
  6. Step 6: Final answer
    x = 8,512.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.