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Finding the Fourth Proportional to 9,223.81, 12,728.48 and 5,190.55

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Solution

The fourth proportional to 9,223.81, 12,728.48 and 5,190.55 is: 7,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.81 : 12,728.48 = 5,190.55 : x
  2. Step 2: Convert to fraction form
    9,223.81/12,728.48 = 5,190.55/x
  3. Step 3: Cross multiply
    9,223.81x = 12,728.48 × 5,190.55
  4. Step 4: Simplify right side
    9,223.81x = 66,067,824.84
  5. Step 5: Solve for x
    x = 66,067,824.84/9,223.81
  6. Step 6: Final answer
    x = 7,162.75

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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.