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Finding the Fourth Proportional to 6,421.57, 9,632.97 and 1,741.65

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Solution

The fourth proportional to 6,421.57, 9,632.97 and 1,741.65 is: 2,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.57 : 9,632.97 = 1,741.65 : x
  2. Step 2: Convert to fraction form
    6,421.57/9,632.97 = 1,741.65/x
  3. Step 3: Cross multiply
    6,421.57x = 9,632.97 × 1,741.65
  4. Step 4: Simplify right side
    6,421.57x = 16,777,214.04
  5. Step 5: Solve for x
    x = 16,777,214.04/6,421.57
  6. Step 6: Final answer
    x = 2,612.63

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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.