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Finding the Fourth Proportional to 9,512.56, 14,270.72 and 3,669.20

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Solution

The fourth proportional to 9,512.56, 14,270.72 and 3,669.20 is: 5,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.56 : 14,270.72 = 3,669.20 : x
  2. Step 2: Convert to fraction form
    9,512.56/14,270.72 = 3,669.20/x
  3. Step 3: Cross multiply
    9,512.56x = 14,270.72 × 3,669.20
  4. Step 4: Simplify right side
    9,512.56x = 52,362,125.82
  5. Step 5: Solve for x
    x = 52,362,125.82/9,512.56
  6. Step 6: Final answer
    x = 5,504.53

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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.