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Finding the Fourth Proportional to 10,801.62, 14,900.94 and 9,306.96

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Solution

The fourth proportional to 10,801.62, 14,900.94 and 9,306.96 is: 12,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.62 : 14,900.94 = 9,306.96 : x
  2. Step 2: Convert to fraction form
    10,801.62/14,900.94 = 9,306.96/x
  3. Step 3: Cross multiply
    10,801.62x = 14,900.94 × 9,306.96
  4. Step 4: Simplify right side
    10,801.62x = 138,682,452.54
  5. Step 5: Solve for x
    x = 138,682,452.54/10,801.62
  6. Step 6: Final answer
    x = 12,839.04

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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.