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Finding the Fourth Proportional to 6,838.60, 9,436.08 and 3,854.20

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Solution

The fourth proportional to 6,838.60, 9,436.08 and 3,854.20 is: 5,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.60 : 9,436.08 = 3,854.20 : x
  2. Step 2: Convert to fraction form
    6,838.60/9,436.08 = 3,854.20/x
  3. Step 3: Cross multiply
    6,838.60x = 9,436.08 × 3,854.20
  4. Step 4: Simplify right side
    6,838.60x = 36,368,539.54
  5. Step 5: Solve for x
    x = 36,368,539.54/6,838.60
  6. Step 6: Final answer
    x = 5,318.13

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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.