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Finding the Fourth Proportional to 10,957.98, 16,422.85 and 9,546.69

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Solution

The fourth proportional to 10,957.98, 16,422.85 and 9,546.69 is: 14,307.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.98 : 16,422.85 = 9,546.69 : x
  2. Step 2: Convert to fraction form
    10,957.98/16,422.85 = 9,546.69/x
  3. Step 3: Cross multiply
    10,957.98x = 16,422.85 × 9,546.69
  4. Step 4: Simplify right side
    10,957.98x = 156,783,857.87
  5. Step 5: Solve for x
    x = 156,783,857.87/10,957.98
  6. Step 6: Final answer
    x = 14,307.73

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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.