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Finding the Fourth Proportional to 9,415.31, 12,991.16 and 5,436.23

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Solution

The fourth proportional to 9,415.31, 12,991.16 and 5,436.23 is: 7,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.31 : 12,991.16 = 5,436.23 : x
  2. Step 2: Convert to fraction form
    9,415.31/12,991.16 = 5,436.23/x
  3. Step 3: Cross multiply
    9,415.31x = 12,991.16 × 5,436.23
  4. Step 4: Simplify right side
    9,415.31x = 70,622,882.36
  5. Step 5: Solve for x
    x = 70,622,882.36/9,415.31
  6. Step 6: Final answer
    x = 7,500.86

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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.