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Finding the Fourth Proportional to 6,838.73, 9,440.59 and 4,005.71

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Solution

The fourth proportional to 6,838.73, 9,440.59 and 4,005.71 is: 5,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.73 : 9,440.59 = 4,005.71 : x
  2. Step 2: Convert to fraction form
    6,838.73/9,440.59 = 4,005.71/x
  3. Step 3: Cross multiply
    6,838.73x = 9,440.59 × 4,005.71
  4. Step 4: Simplify right side
    6,838.73x = 37,816,208.55
  5. Step 5: Solve for x
    x = 37,816,208.55/6,838.73
  6. Step 6: Final answer
    x = 5,529.72

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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.