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Finding the Fourth Proportional to 4,614.69, 6,912.23 and 4,284.21

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Solution

The fourth proportional to 4,614.69, 6,912.23 and 4,284.21 is: 6,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.69 : 6,912.23 = 4,284.21 : x
  2. Step 2: Convert to fraction form
    4,614.69/6,912.23 = 4,284.21/x
  3. Step 3: Cross multiply
    4,614.69x = 6,912.23 × 4,284.21
  4. Step 4: Simplify right side
    4,614.69x = 29,613,423.47
  5. Step 5: Solve for x
    x = 29,613,423.47/4,614.69
  6. Step 6: Final answer
    x = 6,417.21

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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.