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Finding the Fourth Proportional to 6,451.38, 9,673.29 and 4,614.30

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Solution

The fourth proportional to 6,451.38, 9,673.29 and 4,614.30 is: 6,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.38 : 9,673.29 = 4,614.30 : x
  2. Step 2: Convert to fraction form
    6,451.38/9,673.29 = 4,614.30/x
  3. Step 3: Cross multiply
    6,451.38x = 9,673.29 × 4,614.30
  4. Step 4: Simplify right side
    6,451.38x = 44,635,462.05
  5. Step 5: Solve for x
    x = 44,635,462.05/6,451.38
  6. Step 6: Final answer
    x = 6,918.75

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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.