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Finding the Fourth Proportional to 9,728.22, 13,424.49 and 5,479.32

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Solution

The fourth proportional to 9,728.22, 13,424.49 and 5,479.32 is: 7,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.22 : 13,424.49 = 5,479.32 : x
  2. Step 2: Convert to fraction form
    9,728.22/13,424.49 = 5,479.32/x
  3. Step 3: Cross multiply
    9,728.22x = 13,424.49 × 5,479.32
  4. Step 4: Simplify right side
    9,728.22x = 73,557,076.55
  5. Step 5: Solve for x
    x = 73,557,076.55/9,728.22
  6. Step 6: Final answer
    x = 7,561.21

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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.