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Finding the Fourth Proportional to 9,717.32, 14,570.81 and 3,796.22

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Solution

The fourth proportional to 9,717.32, 14,570.81 and 3,796.22 is: 5,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.32 : 14,570.81 = 3,796.22 : x
  2. Step 2: Convert to fraction form
    9,717.32/14,570.81 = 3,796.22/x
  3. Step 3: Cross multiply
    9,717.32x = 14,570.81 × 3,796.22
  4. Step 4: Simplify right side
    9,717.32x = 55,313,981.36
  5. Step 5: Solve for x
    x = 55,313,981.36/9,717.32
  6. Step 6: Final answer
    x = 5,692.31

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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.