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Finding the Fourth Proportional to 9,372.25, 12,933.73 and 5,180.50

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Solution

The fourth proportional to 9,372.25, 12,933.73 and 5,180.50 is: 7,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,372.25 : 12,933.73 = 5,180.50 : x
  2. Step 2: Convert to fraction form
    9,372.25/12,933.73 = 5,180.50/x
  3. Step 3: Cross multiply
    9,372.25x = 12,933.73 × 5,180.50
  4. Step 4: Simplify right side
    9,372.25x = 67,003,188.27
  5. Step 5: Solve for x
    x = 67,003,188.27/9,372.25
  6. Step 6: Final answer
    x = 7,149.10

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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.