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Finding the Fourth Proportional to 9,727.72, 13,433.70 and 8,322.28

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Solution

The fourth proportional to 9,727.72, 13,433.70 and 8,322.28 is: 11,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.72 : 13,433.70 = 8,322.28 : x
  2. Step 2: Convert to fraction form
    9,727.72/13,433.70 = 8,322.28/x
  3. Step 3: Cross multiply
    9,727.72x = 13,433.70 × 8,322.28
  4. Step 4: Simplify right side
    9,727.72x = 111,799,012.84
  5. Step 5: Solve for x
    x = 111,799,012.84/9,727.72
  6. Step 6: Final answer
    x = 11,492.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.