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Finding the Fourth Proportional to 7,940.30, 11,937.45 and 6,489.98

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Solution

The fourth proportional to 7,940.30, 11,937.45 and 6,489.98 is: 9,757.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.30 : 11,937.45 = 6,489.98 : x
  2. Step 2: Convert to fraction form
    7,940.30/11,937.45 = 6,489.98/x
  3. Step 3: Cross multiply
    7,940.30x = 11,937.45 × 6,489.98
  4. Step 4: Simplify right side
    7,940.30x = 77,473,811.75
  5. Step 5: Solve for x
    x = 77,473,811.75/7,940.30
  6. Step 6: Final answer
    x = 9,757.04

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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.