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Finding the Fourth Proportional to 9,747.77, 14,620.75 and 2,728.41

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Solution

The fourth proportional to 9,747.77, 14,620.75 and 2,728.41 is: 4,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.77 : 14,620.75 = 2,728.41 : x
  2. Step 2: Convert to fraction form
    9,747.77/14,620.75 = 2,728.41/x
  3. Step 3: Cross multiply
    9,747.77x = 14,620.75 × 2,728.41
  4. Step 4: Simplify right side
    9,747.77x = 39,891,400.51
  5. Step 5: Solve for x
    x = 39,891,400.51/9,747.77
  6. Step 6: Final answer
    x = 4,092.36

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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.