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Finding the Fourth Proportional to 9,090.24, 13,609.32 and 6,163.32

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Solution

The fourth proportional to 9,090.24, 13,609.32 and 6,163.32 is: 9,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.24 : 13,609.32 = 6,163.32 : x
  2. Step 2: Convert to fraction form
    9,090.24/13,609.32 = 6,163.32/x
  3. Step 3: Cross multiply
    9,090.24x = 13,609.32 × 6,163.32
  4. Step 4: Simplify right side
    9,090.24x = 83,878,594.14
  5. Step 5: Solve for x
    x = 83,878,594.14/9,090.24
  6. Step 6: Final answer
    x = 9,227.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.