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Finding the Fourth Proportional to 9,939.34, 13,713.28 and 5,959

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Solution

The fourth proportional to 9,939.34, 13,713.28 and 5,959 is: 8,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.34 : 13,713.28 = 5,959 : x
  2. Step 2: Convert to fraction form
    9,939.34/13,713.28 = 5,959/x
  3. Step 3: Cross multiply
    9,939.34x = 13,713.28 × 5,959
  4. Step 4: Simplify right side
    9,939.34x = 81,717,435.52
  5. Step 5: Solve for x
    x = 81,717,435.52/9,939.34
  6. Step 6: Final answer
    x = 8,221.62

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