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Finding the Fourth Proportional to 6,363.22, 9,536.98 and 4,614.23

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Solution

The fourth proportional to 6,363.22, 9,536.98 and 4,614.23 is: 6,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.22 : 9,536.98 = 4,614.23 : x
  2. Step 2: Convert to fraction form
    6,363.22/9,536.98 = 4,614.23/x
  3. Step 3: Cross multiply
    6,363.22x = 9,536.98 × 4,614.23
  4. Step 4: Simplify right side
    6,363.22x = 44,005,819.23
  5. Step 5: Solve for x
    x = 44,005,819.23/6,363.22
  6. Step 6: Final answer
    x = 6,915.65

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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.