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Finding the Fourth Proportional to 9,140.20, 13,696.06 and 6,372.52

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Solution

The fourth proportional to 9,140.20, 13,696.06 and 6,372.52 is: 9,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.20 : 13,696.06 = 6,372.52 : x
  2. Step 2: Convert to fraction form
    9,140.20/13,696.06 = 6,372.52/x
  3. Step 3: Cross multiply
    9,140.20x = 13,696.06 × 6,372.52
  4. Step 4: Simplify right side
    9,140.20x = 87,278,416.27
  5. Step 5: Solve for x
    x = 87,278,416.27/9,140.20
  6. Step 6: Final answer
    x = 9,548.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.