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Finding the Fourth Proportional to 9,268.38, 12,780.18 and 5,907.42

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Solution

The fourth proportional to 9,268.38, 12,780.18 and 5,907.42 is: 8,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.38 : 12,780.18 = 5,907.42 : x
  2. Step 2: Convert to fraction form
    9,268.38/12,780.18 = 5,907.42/x
  3. Step 3: Cross multiply
    9,268.38x = 12,780.18 × 5,907.42
  4. Step 4: Simplify right side
    9,268.38x = 75,497,890.94
  5. Step 5: Solve for x
    x = 75,497,890.94/9,268.38
  6. Step 6: Final answer
    x = 8,145.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.