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Finding the Fourth Proportional to 9,755.79, 13,462.84 and 5,448.84

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Solution

The fourth proportional to 9,755.79, 13,462.84 and 5,448.84 is: 7,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.79 : 13,462.84 = 5,448.84 : x
  2. Step 2: Convert to fraction form
    9,755.79/13,462.84 = 5,448.84/x
  3. Step 3: Cross multiply
    9,755.79x = 13,462.84 × 5,448.84
  4. Step 4: Simplify right side
    9,755.79x = 73,356,817.43
  5. Step 5: Solve for x
    x = 73,356,817.43/9,755.79
  6. Step 6: Final answer
    x = 7,519.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.