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Finding the Fourth Proportional to 9,882.56, 14,826.28 and 9,072.56

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Solution

The fourth proportional to 9,882.56, 14,826.28 and 9,072.56 is: 13,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.56 : 14,826.28 = 9,072.56 : x
  2. Step 2: Convert to fraction form
    9,882.56/14,826.28 = 9,072.56/x
  3. Step 3: Cross multiply
    9,882.56x = 14,826.28 × 9,072.56
  4. Step 4: Simplify right side
    9,882.56x = 134,512,314.88
  5. Step 5: Solve for x
    x = 134,512,314.88/9,882.56
  6. Step 6: Final answer
    x = 13,611.08

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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.