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Finding the Fourth Proportional to 9,480.42, 13,083.02 and 5,231.54

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Solution

The fourth proportional to 9,480.42, 13,083.02 and 5,231.54 is: 7,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.42 : 13,083.02 = 5,231.54 : x
  2. Step 2: Convert to fraction form
    9,480.42/13,083.02 = 5,231.54/x
  3. Step 3: Cross multiply
    9,480.42x = 13,083.02 × 5,231.54
  4. Step 4: Simplify right side
    9,480.42x = 68,444,342.45
  5. Step 5: Solve for x
    x = 68,444,342.45/9,480.42
  6. Step 6: Final answer
    x = 7,219.55

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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.