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Finding the Fourth Proportional to 9,431.25, 13,016.71 and 5,454.78

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Solution

The fourth proportional to 9,431.25, 13,016.71 and 5,454.78 is: 7,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.25 : 13,016.71 = 5,454.78 : x
  2. Step 2: Convert to fraction form
    9,431.25/13,016.71 = 5,454.78/x
  3. Step 3: Cross multiply
    9,431.25x = 13,016.71 × 5,454.78
  4. Step 4: Simplify right side
    9,431.25x = 71,003,289.37
  5. Step 5: Solve for x
    x = 71,003,289.37/9,431.25
  6. Step 6: Final answer
    x = 7,528.51

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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.