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Finding the Fourth Proportional to 9,605.46, 14,406.97 and 3,766.17

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Solution

The fourth proportional to 9,605.46, 14,406.97 and 3,766.17 is: 5,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.46 : 14,406.97 = 3,766.17 : x
  2. Step 2: Convert to fraction form
    9,605.46/14,406.97 = 3,766.17/x
  3. Step 3: Cross multiply
    9,605.46x = 14,406.97 × 3,766.17
  4. Step 4: Simplify right side
    9,605.46x = 54,259,098.20
  5. Step 5: Solve for x
    x = 54,259,098.20/9,605.46
  6. Step 6: Final answer
    x = 5,648.78

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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.