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Finding the Fourth Proportional to 6,723.41, 9,277.13 and 4,204.71

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Solution

The fourth proportional to 6,723.41, 9,277.13 and 4,204.71 is: 5,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.41 : 9,277.13 = 4,204.71 : x
  2. Step 2: Convert to fraction form
    6,723.41/9,277.13 = 4,204.71/x
  3. Step 3: Cross multiply
    6,723.41x = 9,277.13 × 4,204.71
  4. Step 4: Simplify right side
    6,723.41x = 39,007,651.79
  5. Step 5: Solve for x
    x = 39,007,651.79/6,723.41
  6. Step 6: Final answer
    x = 5,801.77

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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.