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Finding the Fourth Proportional to 9,732.57, 14,600.67 and 3,157.89

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Solution

The fourth proportional to 9,732.57, 14,600.67 and 3,157.89 is: 4,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.57 : 14,600.67 = 3,157.89 : x
  2. Step 2: Convert to fraction form
    9,732.57/14,600.67 = 3,157.89/x
  3. Step 3: Cross multiply
    9,732.57x = 14,600.67 × 3,157.89
  4. Step 4: Simplify right side
    9,732.57x = 46,107,309.79
  5. Step 5: Solve for x
    x = 46,107,309.79/9,732.57
  6. Step 6: Final answer
    x = 4,737.42

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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.