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Finding the Fourth Proportional to 9,803.96, 13,525.62 and 5,609.96

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Solution

The fourth proportional to 9,803.96, 13,525.62 and 5,609.96 is: 7,739.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.96 : 13,525.62 = 5,609.96 : x
  2. Step 2: Convert to fraction form
    9,803.96/13,525.62 = 5,609.96/x
  3. Step 3: Cross multiply
    9,803.96x = 13,525.62 × 5,609.96
  4. Step 4: Simplify right side
    9,803.96x = 75,878,187.18
  5. Step 5: Solve for x
    x = 75,878,187.18/9,803.96
  6. Step 6: Final answer
    x = 7,739.54

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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.