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Finding the Fourth Proportional to 9,757.98, 14,639.30 and 3,184.18

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Solution

The fourth proportional to 9,757.98, 14,639.30 and 3,184.18 is: 4,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.98 : 14,639.30 = 3,184.18 : x
  2. Step 2: Convert to fraction form
    9,757.98/14,639.30 = 3,184.18/x
  3. Step 3: Cross multiply
    9,757.98x = 14,639.30 × 3,184.18
  4. Step 4: Simplify right side
    9,757.98x = 46,614,125.70
  5. Step 5: Solve for x
    x = 46,614,125.70/9,757.98
  6. Step 6: Final answer
    x = 4,777.03

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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.