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Finding the Fourth Proportional to 7,232.25, 9,982.33 and 4,090.26

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Solution

The fourth proportional to 7,232.25, 9,982.33 and 4,090.26 is: 5,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.25 : 9,982.33 = 4,090.26 : x
  2. Step 2: Convert to fraction form
    7,232.25/9,982.33 = 4,090.26/x
  3. Step 3: Cross multiply
    7,232.25x = 9,982.33 × 4,090.26
  4. Step 4: Simplify right side
    7,232.25x = 40,830,325.11
  5. Step 5: Solve for x
    x = 40,830,325.11/7,232.25
  6. Step 6: Final answer
    x = 5,645.59

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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.