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Finding the Fourth Proportional to 6,840.49, 9,439.88 and 3,696.68

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Solution

The fourth proportional to 6,840.49, 9,439.88 and 3,696.68 is: 5,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.49 : 9,439.88 = 3,696.68 : x
  2. Step 2: Convert to fraction form
    6,840.49/9,439.88 = 3,696.68/x
  3. Step 3: Cross multiply
    6,840.49x = 9,439.88 × 3,696.68
  4. Step 4: Simplify right side
    6,840.49x = 34,896,209.76
  5. Step 5: Solve for x
    x = 34,896,209.76/6,840.49
  6. Step 6: Final answer
    x = 5,101.42

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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.