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Finding the Fourth Proportional to 6,685.43, 9,230.09 and 4,296.47

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Solution

The fourth proportional to 6,685.43, 9,230.09 and 4,296.47 is: 5,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.43 : 9,230.09 = 4,296.47 : x
  2. Step 2: Convert to fraction form
    6,685.43/9,230.09 = 4,296.47/x
  3. Step 3: Cross multiply
    6,685.43x = 9,230.09 × 4,296.47
  4. Step 4: Simplify right side
    6,685.43x = 39,656,804.78
  5. Step 5: Solve for x
    x = 39,656,804.78/6,685.43
  6. Step 6: Final answer
    x = 5,931.83

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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.