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Finding the Fourth Proportional to 9,717.69, 14,571.06 and 6,371.58

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Solution

The fourth proportional to 9,717.69, 14,571.06 and 6,371.58 is: 9,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.69 : 14,571.06 = 6,371.58 : x
  2. Step 2: Convert to fraction form
    9,717.69/14,571.06 = 6,371.58/x
  3. Step 3: Cross multiply
    9,717.69x = 14,571.06 × 6,371.58
  4. Step 4: Simplify right side
    9,717.69x = 92,840,623.26
  5. Step 5: Solve for x
    x = 92,840,623.26/9,717.69
  6. Step 6: Final answer
    x = 9,553.78

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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.