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Finding the Fourth Proportional to 9,493.17, 14,231.65 and 6,711.09

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Solution

The fourth proportional to 9,493.17, 14,231.65 and 6,711.09 is: 10,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.17 : 14,231.65 = 6,711.09 : x
  2. Step 2: Convert to fraction form
    9,493.17/14,231.65 = 6,711.09/x
  3. Step 3: Cross multiply
    9,493.17x = 14,231.65 × 6,711.09
  4. Step 4: Simplify right side
    9,493.17x = 95,509,884.00
  5. Step 5: Solve for x
    x = 95,509,884.00/9,493.17
  6. Step 6: Final answer
    x = 10,060.91

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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.