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Finding the Fourth Proportional to 6,836.34, 9,434.16 and 3,692.53

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Solution

The fourth proportional to 6,836.34, 9,434.16 and 3,692.53 is: 5,095.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.34 : 9,434.16 = 3,692.53 : x
  2. Step 2: Convert to fraction form
    6,836.34/9,434.16 = 3,692.53/x
  3. Step 3: Cross multiply
    6,836.34x = 9,434.16 × 3,692.53
  4. Step 4: Simplify right side
    6,836.34x = 34,835,930.62
  5. Step 5: Solve for x
    x = 34,835,930.62/6,836.34
  6. Step 6: Final answer
    x = 5,095.70

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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.