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Finding the Fourth Proportional to 6,784.68, 9,366.24 and 4,268.18

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Solution

The fourth proportional to 6,784.68, 9,366.24 and 4,268.18 is: 5,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.68 : 9,366.24 = 4,268.18 : x
  2. Step 2: Convert to fraction form
    6,784.68/9,366.24 = 4,268.18/x
  3. Step 3: Cross multiply
    6,784.68x = 9,366.24 × 4,268.18
  4. Step 4: Simplify right side
    6,784.68x = 39,976,798.24
  5. Step 5: Solve for x
    x = 39,976,798.24/6,784.68
  6. Step 6: Final answer
    x = 5,892.22

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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.