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Finding the Fourth Proportional to 9,799.34, 13,525.85 and 8,035.16

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Solution

The fourth proportional to 9,799.34, 13,525.85 and 8,035.16 is: 11,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.34 : 13,525.85 = 8,035.16 : x
  2. Step 2: Convert to fraction form
    9,799.34/13,525.85 = 8,035.16/x
  3. Step 3: Cross multiply
    9,799.34x = 13,525.85 × 8,035.16
  4. Step 4: Simplify right side
    9,799.34x = 108,682,321.34
  5. Step 5: Solve for x
    x = 108,682,321.34/9,799.34
  6. Step 6: Final answer
    x = 11,090.79

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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.