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Finding the Fourth Proportional to 9,542.06, 13,161.38 and 9,220.94

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Solution

The fourth proportional to 9,542.06, 13,161.38 and 9,220.94 is: 12,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.06 : 13,161.38 = 9,220.94 : x
  2. Step 2: Convert to fraction form
    9,542.06/13,161.38 = 9,220.94/x
  3. Step 3: Cross multiply
    9,542.06x = 13,161.38 × 9,220.94
  4. Step 4: Simplify right side
    9,542.06x = 121,360,295.30
  5. Step 5: Solve for x
    x = 121,360,295.30/9,542.06
  6. Step 6: Final answer
    x = 12,718.46

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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.