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Finding the Fourth Proportional to 6,466.32, 9,690.16 and 3,687.24

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Solution

The fourth proportional to 6,466.32, 9,690.16 and 3,687.24 is: 5,525.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.32 : 9,690.16 = 3,687.24 : x
  2. Step 2: Convert to fraction form
    6,466.32/9,690.16 = 3,687.24/x
  3. Step 3: Cross multiply
    6,466.32x = 9,690.16 × 3,687.24
  4. Step 4: Simplify right side
    6,466.32x = 35,729,945.56
  5. Step 5: Solve for x
    x = 35,729,945.56/6,466.32
  6. Step 6: Final answer
    x = 5,525.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.