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Finding the Fourth Proportional to 6,736.37, 9,294.95 and 3,752.12

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Solution

The fourth proportional to 6,736.37, 9,294.95 and 3,752.12 is: 5,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.37 : 9,294.95 = 3,752.12 : x
  2. Step 2: Convert to fraction form
    6,736.37/9,294.95 = 3,752.12/x
  3. Step 3: Cross multiply
    6,736.37x = 9,294.95 × 3,752.12
  4. Step 4: Simplify right side
    6,736.37x = 34,875,800.41
  5. Step 5: Solve for x
    x = 34,875,800.41/6,736.37
  6. Step 6: Final answer
    x = 5,177.24

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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.