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Finding the Fourth Proportional to 9,583.27, 14,375.50 and 3,009.71

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Solution

The fourth proportional to 9,583.27, 14,375.50 and 3,009.71 is: 4,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.27 : 14,375.50 = 3,009.71 : x
  2. Step 2: Convert to fraction form
    9,583.27/14,375.50 = 3,009.71/x
  3. Step 3: Cross multiply
    9,583.27x = 14,375.50 × 3,009.71
  4. Step 4: Simplify right side
    9,583.27x = 43,266,086.11
  5. Step 5: Solve for x
    x = 43,266,086.11/9,583.27
  6. Step 6: Final answer
    x = 4,514.75

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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.