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Finding the Fourth Proportional to 9,453.54, 13,042.36 and 9,438.96

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Solution

The fourth proportional to 9,453.54, 13,042.36 and 9,438.96 is: 13,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.54 : 13,042.36 = 9,438.96 : x
  2. Step 2: Convert to fraction form
    9,453.54/13,042.36 = 9,438.96/x
  3. Step 3: Cross multiply
    9,453.54x = 13,042.36 × 9,438.96
  4. Step 4: Simplify right side
    9,453.54x = 123,106,314.35
  5. Step 5: Solve for x
    x = 123,106,314.35/9,453.54
  6. Step 6: Final answer
    x = 13,022.25

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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.