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Finding the Fourth Proportional to 7,090.93, 9,773.11 and 5,198.49

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Solution

The fourth proportional to 7,090.93, 9,773.11 and 5,198.49 is: 7,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.93 : 9,773.11 = 5,198.49 : x
  2. Step 2: Convert to fraction form
    7,090.93/9,773.11 = 5,198.49/x
  3. Step 3: Cross multiply
    7,090.93x = 9,773.11 × 5,198.49
  4. Step 4: Simplify right side
    7,090.93x = 50,805,414.60
  5. Step 5: Solve for x
    x = 50,805,414.60/7,090.93
  6. Step 6: Final answer
    x = 7,164.85

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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.