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Finding the Fourth Proportional to 9,736.54, 14,604.77 and 2,716.54

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Solution

The fourth proportional to 9,736.54, 14,604.77 and 2,716.54 is: 4,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.54 : 14,604.77 = 2,716.54 : x
  2. Step 2: Convert to fraction form
    9,736.54/14,604.77 = 2,716.54/x
  3. Step 3: Cross multiply
    9,736.54x = 14,604.77 × 2,716.54
  4. Step 4: Simplify right side
    9,736.54x = 39,674,412.18
  5. Step 5: Solve for x
    x = 39,674,412.18/9,736.54
  6. Step 6: Final answer
    x = 4,074.80

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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.