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Finding the Fourth Proportional to 9,554.31, 13,202.06 and 7,474.23

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Solution

The fourth proportional to 9,554.31, 13,202.06 and 7,474.23 is: 10,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.31 : 13,202.06 = 7,474.23 : x
  2. Step 2: Convert to fraction form
    9,554.31/13,202.06 = 7,474.23/x
  3. Step 3: Cross multiply
    9,554.31x = 13,202.06 × 7,474.23
  4. Step 4: Simplify right side
    9,554.31x = 98,675,195.54
  5. Step 5: Solve for x
    x = 98,675,195.54/9,554.31
  6. Step 6: Final answer
    x = 10,327.82

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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.