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Finding the Fourth Proportional to 6,402.65, 9,597.37 and 2,452.83

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Solution

The fourth proportional to 6,402.65, 9,597.37 and 2,452.83 is: 3,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.65 : 9,597.37 = 2,452.83 : x
  2. Step 2: Convert to fraction form
    6,402.65/9,597.37 = 2,452.83/x
  3. Step 3: Cross multiply
    6,402.65x = 9,597.37 × 2,452.83
  4. Step 4: Simplify right side
    6,402.65x = 23,540,669.07
  5. Step 5: Solve for x
    x = 23,540,669.07/6,402.65
  6. Step 6: Final answer
    x = 3,676.71

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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.