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Finding the Fourth Proportional to 6,766.50, 9,332.10 and 5,175.39

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Solution

The fourth proportional to 6,766.50, 9,332.10 and 5,175.39 is: 7,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.50 : 9,332.10 = 5,175.39 : x
  2. Step 2: Convert to fraction form
    6,766.50/9,332.10 = 5,175.39/x
  3. Step 3: Cross multiply
    6,766.50x = 9,332.10 × 5,175.39
  4. Step 4: Simplify right side
    6,766.50x = 48,297,257.02
  5. Step 5: Solve for x
    x = 48,297,257.02/6,766.50
  6. Step 6: Final answer
    x = 7,137.70

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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.