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Finding the Fourth Proportional to 7,131.99, 9,842.07 and 3,945.42

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Solution

The fourth proportional to 7,131.99, 9,842.07 and 3,945.42 is: 5,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.99 : 9,842.07 = 3,945.42 : x
  2. Step 2: Convert to fraction form
    7,131.99/9,842.07 = 3,945.42/x
  3. Step 3: Cross multiply
    7,131.99x = 9,842.07 × 3,945.42
  4. Step 4: Simplify right side
    7,131.99x = 38,831,099.82
  5. Step 5: Solve for x
    x = 38,831,099.82/7,131.99
  6. Step 6: Final answer
    x = 5,444.64

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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.