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Finding the Fourth Proportional to 9,717.57, 14,571.18 and 3,796.47

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Solution

The fourth proportional to 9,717.57, 14,571.18 and 3,796.47 is: 5,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.57 : 14,571.18 = 3,796.47 : x
  2. Step 2: Convert to fraction form
    9,717.57/14,571.18 = 3,796.47/x
  3. Step 3: Cross multiply
    9,717.57x = 14,571.18 × 3,796.47
  4. Step 4: Simplify right side
    9,717.57x = 55,319,047.73
  5. Step 5: Solve for x
    x = 55,319,047.73/9,717.57
  6. Step 6: Final answer
    x = 5,692.68

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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.