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Finding the Fourth Proportional to 6,697.44, 9,235.08 and 5,805.36

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Solution

The fourth proportional to 6,697.44, 9,235.08 and 5,805.36 is: 8,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.44 : 9,235.08 = 5,805.36 : x
  2. Step 2: Convert to fraction form
    6,697.44/9,235.08 = 5,805.36/x
  3. Step 3: Cross multiply
    6,697.44x = 9,235.08 × 5,805.36
  4. Step 4: Simplify right side
    6,697.44x = 53,612,964.03
  5. Step 5: Solve for x
    x = 53,612,964.03/6,697.44
  6. Step 6: Final answer
    x = 8,004.99

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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.