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Finding the Fourth Proportional to 9,385.13, 14,072.90 and 3,142.89

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Solution

The fourth proportional to 9,385.13, 14,072.90 and 3,142.89 is: 4,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.13 : 14,072.90 = 3,142.89 : x
  2. Step 2: Convert to fraction form
    9,385.13/14,072.90 = 3,142.89/x
  3. Step 3: Cross multiply
    9,385.13x = 14,072.90 × 3,142.89
  4. Step 4: Simplify right side
    9,385.13x = 44,229,560.97
  5. Step 5: Solve for x
    x = 44,229,560.97/9,385.13
  6. Step 6: Final answer
    x = 4,712.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.