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Finding the Fourth Proportional to 9,800.15, 13,524.50 and 5,609.75

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Solution

The fourth proportional to 9,800.15, 13,524.50 and 5,609.75 is: 7,741.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.15 : 13,524.50 = 5,609.75 : x
  2. Step 2: Convert to fraction form
    9,800.15/13,524.50 = 5,609.75/x
  3. Step 3: Cross multiply
    9,800.15x = 13,524.50 × 5,609.75
  4. Step 4: Simplify right side
    9,800.15x = 75,869,010.28
  5. Step 5: Solve for x
    x = 75,869,010.28/9,800.15
  6. Step 6: Final answer
    x = 7,741.62

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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.