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Finding the Fourth Proportional to 7,109.73, 9,809.92 and 4,125.18

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Solution

The fourth proportional to 7,109.73, 9,809.92 and 4,125.18 is: 5,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.73 : 9,809.92 = 4,125.18 : x
  2. Step 2: Convert to fraction form
    7,109.73/9,809.92 = 4,125.18/x
  3. Step 3: Cross multiply
    7,109.73x = 9,809.92 × 4,125.18
  4. Step 4: Simplify right side
    7,109.73x = 40,467,727.73
  5. Step 5: Solve for x
    x = 40,467,727.73/7,109.73
  6. Step 6: Final answer
    x = 5,691.88

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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.