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Finding the Fourth Proportional to 7,035.75, 9,709.79 and 3,892.14

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Solution

The fourth proportional to 7,035.75, 9,709.79 and 3,892.14 is: 5,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.75 : 9,709.79 = 3,892.14 : x
  2. Step 2: Convert to fraction form
    7,035.75/9,709.79 = 3,892.14/x
  3. Step 3: Cross multiply
    7,035.75x = 9,709.79 × 3,892.14
  4. Step 4: Simplify right side
    7,035.75x = 37,791,842.59
  5. Step 5: Solve for x
    x = 37,791,842.59/7,035.75
  6. Step 6: Final answer
    x = 5,371.40

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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.