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Finding the Fourth Proportional to 9,122.83, 13,678.17 and 3,278.68

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Solution

The fourth proportional to 9,122.83, 13,678.17 and 3,278.68 is: 4,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.83 : 13,678.17 = 3,278.68 : x
  2. Step 2: Convert to fraction form
    9,122.83/13,678.17 = 3,278.68/x
  3. Step 3: Cross multiply
    9,122.83x = 13,678.17 × 3,278.68
  4. Step 4: Simplify right side
    9,122.83x = 44,846,295.93
  5. Step 5: Solve for x
    x = 44,846,295.93/9,122.83
  6. Step 6: Final answer
    x = 4,915.83

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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.