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Finding the Fourth Proportional to 9,329, 12,874.02 and 5,137.52

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Solution

The fourth proportional to 9,329, 12,874.02 and 5,137.52 is: 7,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329 : 12,874.02 = 5,137.52 : x
  2. Step 2: Convert to fraction form
    9,329/12,874.02 = 5,137.52/x
  3. Step 3: Cross multiply
    9,329x = 12,874.02 × 5,137.52
  4. Step 4: Simplify right side
    9,329x = 66,140,535.23
  5. Step 5: Solve for x
    x = 66,140,535.23/9,329
  6. Step 6: Final answer
    x = 7,089.78

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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.