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Finding the Fourth Proportional to 7,232.92, 9,983.22 and 4,090.96

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Solution

The fourth proportional to 7,232.92, 9,983.22 and 4,090.96 is: 5,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.92 : 9,983.22 = 4,090.96 : x
  2. Step 2: Convert to fraction form
    7,232.92/9,983.22 = 4,090.96/x
  3. Step 3: Cross multiply
    7,232.92x = 9,983.22 × 4,090.96
  4. Step 4: Simplify right side
    7,232.92x = 40,840,953.69
  5. Step 5: Solve for x
    x = 40,840,953.69/7,232.92
  6. Step 6: Final answer
    x = 5,646.54

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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.