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Finding the Fourth Proportional to 9,251.27, 13,878.05 and 3,009.60

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Solution

The fourth proportional to 9,251.27, 13,878.05 and 3,009.60 is: 4,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.27 : 13,878.05 = 3,009.60 : x
  2. Step 2: Convert to fraction form
    9,251.27/13,878.05 = 3,009.60/x
  3. Step 3: Cross multiply
    9,251.27x = 13,878.05 × 3,009.60
  4. Step 4: Simplify right side
    9,251.27x = 41,767,421.66
  5. Step 5: Solve for x
    x = 41,767,421.66/9,251.27
  6. Step 6: Final answer
    x = 4,514.78

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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.