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Finding the Fourth Proportional to 9,137.31, 12,611.93 and 5,160.75

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Solution

The fourth proportional to 9,137.31, 12,611.93 and 5,160.75 is: 7,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.31 : 12,611.93 = 5,160.75 : x
  2. Step 2: Convert to fraction form
    9,137.31/12,611.93 = 5,160.75/x
  3. Step 3: Cross multiply
    9,137.31x = 12,611.93 × 5,160.75
  4. Step 4: Simplify right side
    9,137.31x = 65,086,991.94
  5. Step 5: Solve for x
    x = 65,086,991.94/9,137.31
  6. Step 6: Final answer
    x = 7,123.21

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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.