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Finding the Fourth Proportional to 9,096.77, 13,645.17 and 2,523.30

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Solution

The fourth proportional to 9,096.77, 13,645.17 and 2,523.30 is: 3,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.77 : 13,645.17 = 2,523.30 : x
  2. Step 2: Convert to fraction form
    9,096.77/13,645.17 = 2,523.30/x
  3. Step 3: Cross multiply
    9,096.77x = 13,645.17 × 2,523.30
  4. Step 4: Simplify right side
    9,096.77x = 34,430,857.46
  5. Step 5: Solve for x
    x = 34,430,857.46/9,096.77
  6. Step 6: Final answer
    x = 3,784.96

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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.