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Finding the Fourth Proportional to 6,685.68, 9,220.64 and 4,296.05

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Solution

The fourth proportional to 6,685.68, 9,220.64 and 4,296.05 is: 5,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.68 : 9,220.64 = 4,296.05 : x
  2. Step 2: Convert to fraction form
    6,685.68/9,220.64 = 4,296.05/x
  3. Step 3: Cross multiply
    6,685.68x = 9,220.64 × 4,296.05
  4. Step 4: Simplify right side
    6,685.68x = 39,612,287.06
  5. Step 5: Solve for x
    x = 39,612,287.06/6,685.68
  6. Step 6: Final answer
    x = 5,924.94

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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.