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Finding the Fourth Proportional to 8,433.97, 11,636.81 and 6,542.22

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Solution

The fourth proportional to 8,433.97, 11,636.81 and 6,542.22 is: 9,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.97 : 11,636.81 = 6,542.22 : x
  2. Step 2: Convert to fraction form
    8,433.97/11,636.81 = 6,542.22/x
  3. Step 3: Cross multiply
    8,433.97x = 11,636.81 × 6,542.22
  4. Step 4: Simplify right side
    8,433.97x = 76,130,480.22
  5. Step 5: Solve for x
    x = 76,130,480.22/8,433.97
  6. Step 6: Final answer
    x = 9,026.65

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