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Finding the Fourth Proportional to 9,512.17, 14,272.34 and 3,672.88

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Solution

The fourth proportional to 9,512.17, 14,272.34 and 3,672.88 is: 5,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.17 : 14,272.34 = 3,672.88 : x
  2. Step 2: Convert to fraction form
    9,512.17/14,272.34 = 3,672.88/x
  3. Step 3: Cross multiply
    9,512.17x = 14,272.34 × 3,672.88
  4. Step 4: Simplify right side
    9,512.17x = 52,420,538.09
  5. Step 5: Solve for x
    x = 52,420,538.09/9,512.17
  6. Step 6: Final answer
    x = 5,510.89

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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.