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Finding the Fourth Proportional to 6,840.39, 9,439.71 and 3,696.57

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Solution

The fourth proportional to 6,840.39, 9,439.71 and 3,696.57 is: 5,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.39 : 9,439.71 = 3,696.57 : x
  2. Step 2: Convert to fraction form
    6,840.39/9,439.71 = 3,696.57/x
  3. Step 3: Cross multiply
    6,840.39x = 9,439.71 × 3,696.57
  4. Step 4: Simplify right side
    6,840.39x = 34,894,548.79
  5. Step 5: Solve for x
    x = 34,894,548.79/6,840.39
  6. Step 6: Final answer
    x = 5,101.25

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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.