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Finding the Fourth Proportional to 6,736.16, 9,297.41 and 4,374.20

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Solution

The fourth proportional to 6,736.16, 9,297.41 and 4,374.20 is: 6,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.16 : 9,297.41 = 4,374.20 : x
  2. Step 2: Convert to fraction form
    6,736.16/9,297.41 = 4,374.20/x
  3. Step 3: Cross multiply
    6,736.16x = 9,297.41 × 4,374.20
  4. Step 4: Simplify right side
    6,736.16x = 40,668,662.46
  5. Step 5: Solve for x
    x = 40,668,662.46/6,736.16
  6. Step 6: Final answer
    x = 6,037.37

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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.