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Finding the Fourth Proportional to 10,609.92, 15,837 and 9,828

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Solution

The fourth proportional to 10,609.92, 15,837 and 9,828 is: 14,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.92 : 15,837 = 9,828 : x
  2. Step 2: Convert to fraction form
    10,609.92/15,837 = 9,828/x
  3. Step 3: Cross multiply
    10,609.92x = 15,837 × 9,828
  4. Step 4: Simplify right side
    10,609.92x = 155,646,036
  5. Step 5: Solve for x
    x = 155,646,036/10,609.92
  6. Step 6: Final answer
    x = 14,669.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.