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Finding the Fourth Proportional to 6,421.45, 9,614.42 and 3,294.72

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Solution

The fourth proportional to 6,421.45, 9,614.42 and 3,294.72 is: 4,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.45 : 9,614.42 = 3,294.72 : x
  2. Step 2: Convert to fraction form
    6,421.45/9,614.42 = 3,294.72/x
  3. Step 3: Cross multiply
    6,421.45x = 9,614.42 × 3,294.72
  4. Step 4: Simplify right side
    6,421.45x = 31,676,821.86
  5. Step 5: Solve for x
    x = 31,676,821.86/6,421.45
  6. Step 6: Final answer
    x = 4,932.97

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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.