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Finding the Fourth Proportional to 27,422.72, 41,134.08 and 6,646.22

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Solution

The fourth proportional to 27,422.72, 41,134.08 and 6,646.22 is: 9,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.72 : 41,134.08 = 6,646.22 : x
  2. Step 2: Convert to fraction form
    27,422.72/41,134.08 = 6,646.22/x
  3. Step 3: Cross multiply
    27,422.72x = 41,134.08 × 6,646.22
  4. Step 4: Simplify right side
    27,422.72x = 273,386,081.30
  5. Step 5: Solve for x
    x = 273,386,081.30/27,422.72
  6. Step 6: Final answer
    x = 9,969.33

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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.