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Finding the Fourth Proportional to 9,782.56, 14,677.89 and 3,940.03

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Solution

The fourth proportional to 9,782.56, 14,677.89 and 3,940.03 is: 5,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.56 : 14,677.89 = 3,940.03 : x
  2. Step 2: Convert to fraction form
    9,782.56/14,677.89 = 3,940.03/x
  3. Step 3: Cross multiply
    9,782.56x = 14,677.89 × 3,940.03
  4. Step 4: Simplify right side
    9,782.56x = 57,831,326.94
  5. Step 5: Solve for x
    x = 57,831,326.94/9,782.56
  6. Step 6: Final answer
    x = 5,911.68

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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.