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Finding the Fourth Proportional to 9,764.21, 13,474.52 and 5,787.21

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Solution

The fourth proportional to 9,764.21, 13,474.52 and 5,787.21 is: 7,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.21 : 13,474.52 = 5,787.21 : x
  2. Step 2: Convert to fraction form
    9,764.21/13,474.52 = 5,787.21/x
  3. Step 3: Cross multiply
    9,764.21x = 13,474.52 × 5,787.21
  4. Step 4: Simplify right side
    9,764.21x = 77,979,847.95
  5. Step 5: Solve for x
    x = 77,979,847.95/9,764.21
  6. Step 6: Final answer
    x = 7,986.30

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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.