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Finding the Fourth Proportional to 6,838.86, 9,439.94 and 4,253.81

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Solution

The fourth proportional to 6,838.86, 9,439.94 and 4,253.81 is: 5,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.86 : 9,439.94 = 4,253.81 : x
  2. Step 2: Convert to fraction form
    6,838.86/9,439.94 = 4,253.81/x
  3. Step 3: Cross multiply
    6,838.86x = 9,439.94 × 4,253.81
  4. Step 4: Simplify right side
    6,838.86x = 40,155,689.90
  5. Step 5: Solve for x
    x = 40,155,689.90/6,838.86
  6. Step 6: Final answer
    x = 5,871.69

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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.