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Finding the Fourth Proportional to 7,175.16, 9,898.11 and 6,229.67

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Solution

The fourth proportional to 7,175.16, 9,898.11 and 6,229.67 is: 8,593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.16 : 9,898.11 = 6,229.67 : x
  2. Step 2: Convert to fraction form
    7,175.16/9,898.11 = 6,229.67/x
  3. Step 3: Cross multiply
    7,175.16x = 9,898.11 × 6,229.67
  4. Step 4: Simplify right side
    7,175.16x = 61,661,909.43
  5. Step 5: Solve for x
    x = 61,661,909.43/7,175.16
  6. Step 6: Final answer
    x = 8,593.80

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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.