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Finding the Fourth Proportional to 6,349.71, 8,762.39 and 4,083.12

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Solution

The fourth proportional to 6,349.71, 8,762.39 and 4,083.12 is: 5,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.71 : 8,762.39 = 4,083.12 : x
  2. Step 2: Convert to fraction form
    6,349.71/8,762.39 = 4,083.12/x
  3. Step 3: Cross multiply
    6,349.71x = 8,762.39 × 4,083.12
  4. Step 4: Simplify right side
    6,349.71x = 35,777,869.44
  5. Step 5: Solve for x
    x = 35,777,869.44/6,349.71
  6. Step 6: Final answer
    x = 5,634.57

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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.