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Finding the Fourth Proportional to 7,232.18, 9,982.22 and 4,090.19

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Solution

The fourth proportional to 7,232.18, 9,982.22 and 4,090.19 is: 5,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.18 : 9,982.22 = 4,090.19 : x
  2. Step 2: Convert to fraction form
    7,232.18/9,982.22 = 4,090.19/x
  3. Step 3: Cross multiply
    7,232.18x = 9,982.22 × 4,090.19
  4. Step 4: Simplify right side
    7,232.18x = 40,829,106.06
  5. Step 5: Solve for x
    x = 40,829,106.06/7,232.18
  6. Step 6: Final answer
    x = 5,645.48

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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.