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Finding the Fourth Proportional to 6,838.53, 9,436.46 and 3,854.82

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Solution

The fourth proportional to 6,838.53, 9,436.46 and 3,854.82 is: 5,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.53 : 9,436.46 = 3,854.82 : x
  2. Step 2: Convert to fraction form
    6,838.53/9,436.46 = 3,854.82/x
  3. Step 3: Cross multiply
    6,838.53x = 9,436.46 × 3,854.82
  4. Step 4: Simplify right side
    6,838.53x = 36,375,835.46
  5. Step 5: Solve for x
    x = 36,375,835.46/6,838.53
  6. Step 6: Final answer
    x = 5,319.25

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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.