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Finding the Fourth Proportional to 6,415.27, 9,623.17 and 2,032.63

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Solution

The fourth proportional to 6,415.27, 9,623.17 and 2,032.63 is: 3,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.27 : 9,623.17 = 2,032.63 : x
  2. Step 2: Convert to fraction form
    6,415.27/9,623.17 = 2,032.63/x
  3. Step 3: Cross multiply
    6,415.27x = 9,623.17 × 2,032.63
  4. Step 4: Simplify right side
    6,415.27x = 19,560,322.52
  5. Step 5: Solve for x
    x = 19,560,322.52/6,415.27
  6. Step 6: Final answer
    x = 3,049.03

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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.