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Finding the Fourth Proportional to 9,480.17, 14,220.29 and 2,906.33

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Solution

The fourth proportional to 9,480.17, 14,220.29 and 2,906.33 is: 4,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.17 : 14,220.29 = 2,906.33 : x
  2. Step 2: Convert to fraction form
    9,480.17/14,220.29 = 2,906.33/x
  3. Step 3: Cross multiply
    9,480.17x = 14,220.29 × 2,906.33
  4. Step 4: Simplify right side
    9,480.17x = 41,328,769.80
  5. Step 5: Solve for x
    x = 41,328,769.80/9,480.17
  6. Step 6: Final answer
    x = 4,359.50

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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.