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Finding the Fourth Proportional to 9,732.75, 14,596.08 and 3,157.57

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Solution

The fourth proportional to 9,732.75, 14,596.08 and 3,157.57 is: 4,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.75 : 14,596.08 = 3,157.57 : x
  2. Step 2: Convert to fraction form
    9,732.75/14,596.08 = 3,157.57/x
  3. Step 3: Cross multiply
    9,732.75x = 14,596.08 × 3,157.57
  4. Step 4: Simplify right side
    9,732.75x = 46,088,144.33
  5. Step 5: Solve for x
    x = 46,088,144.33/9,732.75
  6. Step 6: Final answer
    x = 4,735.37

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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.