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Finding the Fourth Proportional to 7,036.17, 9,709.83 and 3,892.29

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Solution

The fourth proportional to 7,036.17, 9,709.83 and 3,892.29 is: 5,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.17 : 9,709.83 = 3,892.29 : x
  2. Step 2: Convert to fraction form
    7,036.17/9,709.83 = 3,892.29/x
  3. Step 3: Cross multiply
    7,036.17x = 9,709.83 × 3,892.29
  4. Step 4: Simplify right side
    7,036.17x = 37,793,474.21
  5. Step 5: Solve for x
    x = 37,793,474.21/7,036.17
  6. Step 6: Final answer
    x = 5,371.31

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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.