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Finding the Fourth Proportional to 6,964.20, 9,609.84 and 4,537.17

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Solution

The fourth proportional to 6,964.20, 9,609.84 and 4,537.17 is: 6,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.20 : 9,609.84 = 4,537.17 : x
  2. Step 2: Convert to fraction form
    6,964.20/9,609.84 = 4,537.17/x
  3. Step 3: Cross multiply
    6,964.20x = 9,609.84 × 4,537.17
  4. Step 4: Simplify right side
    6,964.20x = 43,601,477.75
  5. Step 5: Solve for x
    x = 43,601,477.75/6,964.20
  6. Step 6: Final answer
    x = 6,260.80

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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.