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Finding the Fourth Proportional to 9,732.50, 14,599.90 and 3,493.16

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Solution

The fourth proportional to 9,732.50, 14,599.90 and 3,493.16 is: 5,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.50 : 14,599.90 = 3,493.16 : x
  2. Step 2: Convert to fraction form
    9,732.50/14,599.90 = 3,493.16/x
  3. Step 3: Cross multiply
    9,732.50x = 14,599.90 × 3,493.16
  4. Step 4: Simplify right side
    9,732.50x = 50,999,786.68
  5. Step 5: Solve for x
    x = 50,999,786.68/9,732.50
  6. Step 6: Final answer
    x = 5,240.15

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Why These Related Problems?

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