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Finding the Fourth Proportional to 7,100.14, 9,798.92 and 4,268.43

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Solution

The fourth proportional to 7,100.14, 9,798.92 and 4,268.43 is: 5,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.14 : 9,798.92 = 4,268.43 : x
  2. Step 2: Convert to fraction form
    7,100.14/9,798.92 = 4,268.43/x
  3. Step 3: Cross multiply
    7,100.14x = 9,798.92 × 4,268.43
  4. Step 4: Simplify right side
    7,100.14x = 41,826,035.51
  5. Step 5: Solve for x
    x = 41,826,035.51/7,100.14
  6. Step 6: Final answer
    x = 5,890.88

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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.