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Finding the Fourth Proportional to 34,226.67, 51,343.28 and 9,267

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Solution

The fourth proportional to 34,226.67, 51,343.28 and 9,267 is: 13,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,226.67 : 51,343.28 = 9,267 : x
  2. Step 2: Convert to fraction form
    34,226.67/51,343.28 = 9,267/x
  3. Step 3: Cross multiply
    34,226.67x = 51,343.28 × 9,267
  4. Step 4: Simplify right side
    34,226.67x = 475,798,175.76
  5. Step 5: Solve for x
    x = 475,798,175.76/34,226.67
  6. Step 6: Final answer
    x = 13,901.39

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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.