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Finding the Fourth Proportional to 9,102.14, 13,650.67 and 2,526.76

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Solution

The fourth proportional to 9,102.14, 13,650.67 and 2,526.76 is: 3,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.14 : 13,650.67 = 2,526.76 : x
  2. Step 2: Convert to fraction form
    9,102.14/13,650.67 = 2,526.76/x
  3. Step 3: Cross multiply
    9,102.14x = 13,650.67 × 2,526.76
  4. Step 4: Simplify right side
    9,102.14x = 34,491,966.93
  5. Step 5: Solve for x
    x = 34,491,966.93/9,102.14
  6. Step 6: Final answer
    x = 3,789.43

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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.