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Finding the Fourth Proportional to 7,734.29, 10,673.22 and 4,197.47

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Solution

The fourth proportional to 7,734.29, 10,673.22 and 4,197.47 is: 5,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.29 : 10,673.22 = 4,197.47 : x
  2. Step 2: Convert to fraction form
    7,734.29/10,673.22 = 4,197.47/x
  3. Step 3: Cross multiply
    7,734.29x = 10,673.22 × 4,197.47
  4. Step 4: Simplify right side
    7,734.29x = 44,800,519.55
  5. Step 5: Solve for x
    x = 44,800,519.55/7,734.29
  6. Step 6: Final answer
    x = 5,792.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.