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Finding the Fourth Proportional to 7,125.92, 9,833.74 and 3,939.44

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Solution

The fourth proportional to 7,125.92, 9,833.74 and 3,939.44 is: 5,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.92 : 9,833.74 = 3,939.44 : x
  2. Step 2: Convert to fraction form
    7,125.92/9,833.74 = 3,939.44/x
  3. Step 3: Cross multiply
    7,125.92x = 9,833.74 × 3,939.44
  4. Step 4: Simplify right side
    7,125.92x = 38,739,428.71
  5. Step 5: Solve for x
    x = 38,739,428.71/7,125.92
  6. Step 6: Final answer
    x = 5,436.41

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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.